Wednesday, August 12, 2009

Grab this before it's gone

http://en.wikipedia.org/wiki/Reductio_ad_absurdum

Here is a clip from the above page to whet the appetite:

"

For example, consider the proposition Cuius est solum eius est usque ad coelum et ad inferos (literally: 'for whoever owns the soil, it is theirs up to Heaven and down to Hell'. This is also known as Ad Coelum.

A legal reductio ad absurdum argument against the proposition might be:
Suppose we take this proposition to a logical extreme. This would grant a land owner rights to everything in a cone from the center of the earth to an infinite distance out into space, and whatever was inside that cone, including stars and planets. It is absurd that someone who purchases land on earth should own other planets, therefore this proposition is wrong.

(This is a straw man fallacy if it is used to prove that the practical legal use of "Ad Coelum" is wrong, since Ad Coelum is only actually ever used to delineate rights in cases of tree branches that grow over boundary fences, mining rights, etc.[3] Reductio ad absurdum applied to Ad Coelum is, in this case, claiming that Ad Coelum is saying something that it is not. If anything, the reductio ad absurdum above argues only against taking Ad Coelum to its fullest extent - which in fact nobody ever does anyway.)

In a strict logical sense, this is a reductio ad incommodum rather than ad absurdum - in logic, the term 'absurdity' applies only to impossible self-contradiction, not the merely undesirable consequence we see here. It is only in everyday (or legal) usage that this could acceptably be called a reduction ad absurdum."


Microcosm of all History and Law

"...in general, the validity of an inference does not guarantee the
truth of the statements in the inference. The validity only assures us
the truth of the conclusion assuming that the premises are
true."-http://www.newworldencyclopedia.org/entry/Modus_ponens_and_Modus_tollens

I heard mention of a new witch hunt cutely named, "The Difficult Neighbor Problem". Amazing is it not that human sin has not changed in over 10,000 years. A kind of chronic peripateia. In that the persecution of undesirable neighbors has been a central issue of most conflicts and the propagation of a choking volume of legislation seems too coincidental to ignore.

Psychology would suggest that the offended is a projecting neurotic, blaming the undesirable for not being a slave to the offended's claims, justified by the assumption that all must do for the common good, while denying the responsibility of helping in respect of a greater good for all because the offended is not considered as being offensive. "That's not junk. It's lawn art."

Who is the offender? Claimant or defendent? If negligence is an offence, then both are guilty under the law. The first (claimant) for denying the first sufficient assistance to satisfy the claim, the second (defendent) for lack of maintenance. Burden of proof problem.

Our Constitution was born out of a conflict over undesirable neighbors, and how to best negotiate the due by process of rule of law. Oh boy, is that where we have descended to, or from?

If a flag and gun toting zealot were to clean up property not his own, who would say he had done it wrong? He did it wrong by the method he used if a flag and gun were involved. (It's difficult to work a pump or a shovel while holding a flagstaff or a semiautomatic rifle.) There were few reports of helpful assistance rendered by the armed militia preventing looting as residents struggled to save lives and property during hurricane Katrina. Older times also included sharp instruments of division of fleshly parts, or simply stabbing the offensive object to cause death by hemorrage. Modern times include Eminent Domain and bulldozing. Witchcraft, voodoo, sorcery, specific extortion, and nonspecific aggravation.

Rational thinkers not. Irrational human beasts more likely. And isn't it odd that the beast claiming to be offended, offends as a beast?

agent provocateur is defined as: n. Person employed to detect suspected offenders by tempting them to overt action.

Agrarian agorophobics I say

33:002:004 In that day shall one take up a parable against you, and
lament with a doleful lamentation, and say, We be utterly
spoiled: he hath changed the portion of my people: how hath he
removed it from me! turning away he hath divided our fields.

35:002:006 Shall not all these take up a parable against him, and a
taunting proverb against him, and say, Woe to him that
increaseth that which is not his! how long? and to him that
ladeth himself with thick clay!

40:013:037 He answered and said unto them, He that soweth the good seed
is the Son of man;

40:013:038 The field is the world; the good seed are the children of the
kingdom; but the tares are the children of the wicked one;

40:013:039 The enemy that sowed them is the devil; the harvest is the end
of the world; and the reapers are the angels.

40:013:040 As therefore the tares are gathered and burned in the fire; so
shall it be in the end of this world.

40:013:041 The Son of man shall send forth his angels, and they shall
gather out of his kingdom all things that offend, and them
which do iniquity;

40:013:042 And shall cast them into a furnace of fire: there shall be
wailing and gnashing of teeth.

40:013:043 Then shall the righteous shine forth as the sun in the kingdom
of their Father. Who hath ears to hear, let him hear.

40:013:044 Again, the kingdom of heaven is like unto treasure hid in a
field; the which when a man hath found, he hideth, and for joy
thereof goeth and selleth all that he hath, and buyeth that
field.

40:013:045 Again, the kingdom of heaven is like unto a merchant man,
seeking goodly pearls:

40:013:046 Who, when he had found one pearl of great price, went and sold
all that he had, and bought it.

40:013:047 Again, the kingdom of heaven is like unto a net, that was cast
into the sea, and gathered of every kind:

40:013:048 Which, when it was full, they drew to shore, and sat down, and
gathered the good into vessels, but cast the bad away.

40:013:049 So shall it be at the end of the world: the angels shall come
forth, and sever the wicked from among the just,

40:013:050 And shall cast them into the furnace of fire: there shall be
wailing and gnashing of teeth.

40:013:051 Jesus saith unto them, Have ye understood all these things?
They say unto him, Yea, Lord.

40:013:052 Then said he unto them, Therefore every scribe which is
instructed unto the kingdom of heaven is like unto a man that
is an householder, which bringeth forth out of his treasure
things new and old.

Tuesday, August 11, 2009

Real example of a logical analysis of legal record.

In attempting to analyze a legal document for it's logical properties, a summary and evaluation needs to preceed. The issue I have chosen is, McCulloch vs. Maryland, a Supreme Court decision made in 1819.

I picked some sites from a search on the subject for background information: http://www.landmarkcases.org/mcculloch/background3.html

http://www.usnews.com/usnews/documents/docpages/document_page21.htm

http://legal-dictionary.thefreedictionary.com/McCulloch+vs.+Maryland

http://odur.let.rug.nl/~usa/D/1801-1825/marshallcases/mar05.htm

http://www.cinenet.net/~daven/documents.html

The conclusion to me is, that according to the Constitution, the power to wage war was reserved to Congress. However, waging war is very expensive and requires monetary recources, so voila, a central bank. But, be careful here, because the conflict of wording is crucial. Power and right are not synonymous nor equivocal. Right implies justification, power implies means.

Thus if, the rights to Congress are given by the Constitution, but the power to use those rights must be gleaned from the economy of all the people in the form of taxation, and trust in delegated authority, where is the burden of proof in the justification of decisions resulting in law?

Sovereignty of jurisdictional domain is always in danger of conflict. Typical case is stated as the issue of two neighbors adjacent but separated by a fence to mark the property line. A storm rolls in and topples a tree. The tree is rooted on one side of the fence, but topples over the fence. Which neighbor has the right to the wood if the issue goes to court?

When John Marshall gave the summary of the Supreme Court's decision, he included this reason:

"The difference is that which always exists, and always must exist, between the action of the whole on a [17 U.S. 316, 436] part, and the action of a part on the whole-between the laws of a government declared to be supreme, and those of a government which, when in opposition to those laws, is not supreme."

More transcript from the case:

"M'CULLOCH
v.
STATE OF MARYLAND et al.

February Term, 1819

No political dreamer was ever wild enough to think of breaking down the lines which separate the states, and of compounding the American people into one common mass. Of consequence, when they act, they act in their states. But the measures they adopt do not, on that account, cease to be the measures of the people themselves, or become the measures of the state governments.
-MARSHALL, Ch. J., delivered the opinion of the court.

The objections to the constitution which are noticed in these numbers, were to the undefined power of the government to tax, not to the incidental privilege of exempting its own measures from state taxation. The consequences apprehended from this undefined power were, that it would absorb all the objects of taxation, 'to the exclusion and destruction of the state governments.' The arguments of the Federalist are intended to prove the fallacy of these apprehensions; not to prove that the government was incapable of executing any of its powers, without exposing the means it employed to the embarrassments of state taxation. Arguments urged against these objections, and these apprehensions, are to be understood as relating to the points they [17 U.S. 316, 435] mean to prove. Had the authors of those excellent essays been asked, whether they contended for that construction of the constitution, which would place within the reach of the states those measures which the government might adopt for the execution of its powers; no man, who has read their instructive pages, will hesitate to admit, that their answer must have been in the negative. -Marshall

The government of the United States has itself a great pecuniary interest in this corporation. Can the states tax this property? Under the confederation, when the national government, not having the power of direct legislation, could not protect its own property by its own laws, it was expressly stipulated, that 'no impositions, duties or restrictions should be laid by any state on the property of the United States.' Is it supposed, that property of the United States is now subject to the power of the state governments, in a greater degree than under the confederation? If this power of taxation be admitted, what is to be its limit? -Webster

It has also been insisted, that, as the power of taxation in the general and state governments is acknowledged to be concurrent, every argument which would sustain the right of the general government to tax banks chartered by the states, will equally sustain the right of the states to tax banks chartered by the general government. But the two cases are not on the same reason. The people of all the states have created the general government, and have conferred upon it the general power of taxation. The people of all the states, and the states themselves, are represented in congress, and, by their representatives, exercise this power. When they tax the chartered institutions of the states, they tax their constituents; and these taxes must be uniform. But when a state taxes the operations of the government of the United States, it acts upon institutions created, not by their own constituents, but by people over whom they claim no control. It acts upon the measures of a government created by others as well as themselves, for the benefit of others in common with themselves. The difference is that which always exists, and always must exist, between the action of the whole on a [17 U.S. 316, 436] part, and the action of a part on the whole-between the laws of a government declared to be supreme, and those of a government which, when in opposition to those laws, is not supreme.

But if the full application of this argument could be admitted, it might bring into question the right of congress to tax the state banks, and could not prove the rights of the states to tax the Bank of the United States.

The court has bestowed on this subject its most deliberate consideration. The result is a conviction that the states have no power, by taxation or otherwise, to retard, impede, burden, or in any manner control, the operations of the constitutional laws enacted by congress to carry into execution the powers vested in the general government. This is, we think, the unavoidable consequence of that supremacy which the constitution has declared. We are unanimously of opinion, that the law passed by the legislature of Maryland, imposing a tax on the Bank of the United States, is unconstitutional and void." -Marshall

Webster's defense:

"3. If, however, the states of this Union have surrendered themselves in this manner, by implication, to the congress of the United States, and to such corporations as the congress, from time to time, may find it 'necessary and proper' to create; if a state may no longer decide, whether a trading association, with independent powers and immunities, shall plant itself in its territory, carry on its business, make a currency and trade on its credit, raising capitals for individuals as fictitious as its own; if all this must be granted, the third and great question in this cause presents itself for consideration; that is, shall this association come there with rights of sovereignty, paramount to the sovereignty of the state, and with privileges possessed by no other persons, corporations or property in the state? in other words, can the bank and its branches, thus established, claim to be exempt from the ordinary and equal taxation of property, as assessed in the states in which they are placed? As this overwhelming invasion of state sovereignty is not warranted by any express clause or grant in the constitution, and never was [17 U.S. 316, 338] imagined by any state that adopted and ratified that constitution, it will be conceded, that it must be found to be necessarily and indissolubly connected with the power to establish the bank, or it must be repelled. The court has always shown a just anxiety to prevent any conflict between the federal and state powers; to construe both so as to avoid an interference, if possible, and to preserve that harmony of action in both, on which the prosperity and happiness of all depend. If, therefore, the right to incorporate a national bank may exist, and be exercised consistently with the right of the state, to tax the property of such bank within its territory, the court will maintain both rights; although some inconvenience or diminution of advantage may be the consequence.

Corporations are but means. They are not ends and objects of government. No government exists for the purpose of creating corporations as one of the ends of its being. They are institutions established to effect certain beneficial purposes; [17 U.S. 316, 326] and, as means, take their character generally from their end and object. They are civil or eleemosynary, public or private, according to the object intended by their creation. They are common means, such as all governments use. The state governments create corporations to execute powers confided to their trust, without any specific authority in the state constitutions for that purpose. There is the same reason that congress should exercise its discretion as to the means by which it must execute the powers conferred upon it. Congress has duties to perform and powers to execute. It has a right to the means by which these duties can be properly and most usefully performed, and these powers executed. Among other means, it has established a bank; and before the act establishing it can be pronounced unconstitutional and void, it must be shown, that a bank has no fair connection with the execution of any power or duty of the national government, and that its creation is consequently a manifest usurpation." -Webster, for the plaintiff in error,3 stated, U.S. Supreme Court
M'CULLOCH v. STATE, 17 U.S. 316 (1819)

Here's the dilemma: Does right prevail over power, or does power prevail over right?

Abuse of power is not a right. Violation of rights is infraction of law. If the law is at logical fault due to error, then power and rights cannot be justified.

In Geometry this similar to a problem of finding a rectangle and a circle of exactly the same area.

(I know that seems remote)

From the KJV Bible regarding similar issues:

45:012:004 For as we have many members in one body, and all members have
not the same office:

46:010:017 For we being many are one bread, and one body: for we are all
partakers of that one bread.

46:012:012 For as the body is one, and hath many members, and all the
members of that one body, being many, are one body:

43:007:051 Doth our law judge any man, before it hear him, and know what
he doeth?

20:013:010 Only by pride cometh contention: but with the well advised is
wisdom.

20:017:013 Whoso rewardeth evil for good, evil shall not depart from his
house.

20:017:014 The beginning of strife is as when one letteth out water:
therefore leave off contention, before it be meddled with.

018:019 A brother offended is harder to be won than a strong city: and
their contentions are like the bars of a castle.

56:003:009 But avoid foolish questions, and genealogies, and contentions,
and strivings about the law; for they are unprofitable and
vain.

How old are you?


Do you remember these?

Post WWII four engine transport and commercial aircraft named the C69/C121 Constellation.

Maximum of 44 passengers.

Built by Lockheed, it was Air Force One for President Eisenhower, renamed "Columbine III"
by the President's wife.

Details courtesy of: http://www.theaviationzone.com/factsheets/c121.asp

Not even good things last forever.

Maybe this will help

"Most programming languages, even those that do not have an explicit

Boolean type, have support for Boolean algebra operations such as

conjunction (AND, &, *), disjunction (OR, |, +), equivalence (EQV, =,

==), exclusive or/non-equivalence (XOR, NEQV, ^), and not (NOT, ~, !)."


C

To this day, Boolean values are commonly represented by integers in C

programs. The comparison operators (' > ', '==', etc.) are defined to

return a signed integer (int) result, either zero (for false) or

nonzero (for true). The Boolean operators (&&, ||) and conditional

statements (if, while) in C operate on integer values, with the same

interpretation. For example, the following C code

int t = (x > y);
if (t) { printf("True!\n");}
else { printf("False!\n"); }

is equivalent to

int t;
if (x > y) { t = -1; }
else { t = 0; }
if (t != 0) { printf("True!\n"); }
else { printf("False!\n"); }

However, since the C language standards allow the result of a

comparison to be any non-zero value, the statement if(t==1){...} is not

equivalent to if(t){...} or to if(t!=0){...}.

Since C standards mandate that 0 be interpreted as the null pointer

when used in a pointer context or cast to a pointer, one can test

whether a pointer is non-null by the statement if(p){...} instead of

if(p!=NULL){...} — although some code styles discourage this shorthand.

One can also write if(x){...} when x is a floating-point value, to mean

if(x!=){...}.

For convenience, many programmers and C header files use C's typedef

facility to define a Boolean type (which may be named Boolean, boolean,

bool, etc.). The Boolean type may be just an alias for a numeric type

like int or char. In that case, programmers often define also macros

for the true and false values. For example,

typedef int bool;
#define FALSE 0
#define TRUE (-1)
...
bool f = FALSE;
...
if (f) { ... }

The defined values of the TRUE and FALSE macros must be adequate for

the chosen Boolean type. Note that, on the now common two's complement

computer architectures, the signed value -1 is converted to a non-zero

value (~0, the bit-wise complement of zero) when cast to an unsigned

type, or assigned to an unsigned variable.

Another common choice is to define the Boolean type as an enumerated

type (enum) allows naming elements in the language of choice. For

example, the following code uses the English names FALSE and TRUE as

possible values of the type boolean. In this case, care must be taken

so that the false value is represented internally as a zero integer:

typedef enum { FALSE, TRUE } boolean;
...
boolean b = FALSE;
...
if (b) { ... }

Again, since a true result may be any non-zero value, the tests

if(t==TRUE){...} and if(t), which are equivalent in other languages,

are not equivalent in C.

-http://en.wikipedia.org/wiki/Boolean_datatype#C

Ok. So, is there agreement, contention, or conflict?

Another logic evaluator gave these results:

Ludwig 0.6.4 - Truth Table Constructor
(c)2002-2003 Diego Padula
{ -, &, /, %, >, =, ! }
e.g. 1: ((p&-p)>q)
e.g. 2: ((-a&-b)=(a!b))

Formula: a/b

(a/b)
1. FFF
2. FFT
3. TFF
4. TTT

[Elapsed total 0.0000]

Formula: a%b

(a%b)
1. FTF
2. FFT
3. TFF
4. TTT

[Elapsed total 0.0000]

Formula: a&b

(a&b)
1. FFF
2. FTT
3. TTF
4. TTT

[Elapsed total 0.0000]

Formula: a>b

(a>b)
1. FFF
2. FTT
3. TFF
4. TFT

[Elapsed total 0.0000]

(Unfortunately the above author's website has disappeared, and the program is not readily available. It was written in C. )

So, examining the above results, how would you define the operators by their symbols, and compare the evaluation of the "ludwig" system with "Logical Formula evaluator"?

"Logical Formula evaluator" is currently available at SourceForge.net

There are other logic evaluators from the past (in DOS) namely, "Bertie" and "Twootie". Which also serve as tutors.

Monday, August 10, 2009

More Tricky True-False

I Hope You Like to Read

For: (a OR b) AND (b OR c) IMPLIES a OR c

Value, a,b,c
True,T,T,T
True,T,T,F
True,T,F,T
True,T,F,F
True,F,T,T
False,F,T,F
True,F,F,T
True,F,F,F

The term "Value" means the validity (Truth value) of the statement as a whole. The other three, (one for each variable), are True or False values of the variables. The premise for the statement is, "If (a or b) and (b or c) are true or false, is (a or c) Truly or Falsely implied?

Thus, (a or b) and (b or c) implies (a or c) if and only if all the Values (operators and the varables) in the table are met. The value of the statement operator ' implication' is True for all but one condition; a=False, b=True, and c=False.

The statement can also be written as: a or b and b or c implies a or c.

This is not a finished work since the truth vaues of the other operators are not evaluated. "AND, OR" can also vary invalue making the table more complex. Example: Find the Truth values of the following...

OR, AND, IMPLIES, a, b, c

are six elements to evaluate. Three operators and three variables.


So, a truth table can get very complex.

A program that approaches this on a computer can be found (downloaded)

from: http://sourceforge.net/projects/logicaleval/


What actually is government?


go' vernment n. (More modern word for) GOVERNANCE;

go' vernance n. Act, manner, fact or function, of governing, sway, control.

go'vern v.t & i. Rule with authority, conduct the policy, actions, & affairs, of (State, subject) despotically or constitutionally; regulate proceedings (corporation etc.; ~ing body, managers of hospital, school, etc.; be in military command of (fort, town).

-The Concise Oxford Dictionary of Current English, Fowler & Fowler, 5th Ed., Oxford University Press, Amen House, London E.C. 4, New York, 1964

Sunday, August 09, 2009

True or false?

The truth table for a simple true-false formula is as follows;

a AND NOT b IMPLIES a EXCLUSIVE OR b This formula governs the table values.

Truth table:
Value, a, b

False, T, T If a is true and b is true, the statement is contradictory and false.
Not both a and b can be true.
True, T, F If a is true and b is false, the statement (by the rule) is true by agreement.
True, F, T If a is false and b is true, the statement is true.
False, F, F If a is false and b is false, the statement is false.

The key operator is => IMPLIES. (a AND NOT b IMPLIES a EXCLUSIVE OR b)

The implication of the formula is agreement or disagreement. The statements must agree to disagree to be true.

Religious theories; rational choice

One of several religious theories is proposed here with some verses from the King James Bible.

The belief that sin is the source of affliction
profaned by Jesus for the salvation of any that be-
lieve on Him.

See: http://en.wikipedia.org/wiki/Theories_of_religion#Rational_choice_theory


40:004:023 And Jesus went about all Galilee, teaching in their
synagogues, and preaching the gospel of the kingdom, and
healing all manner of sickness and all manner of disease among
the people

42:009:006 And they departed, and went through the towns, preaching the
gospel, and healing every where.

42:009:011 And the people, when they knew it, followed him: and he
received them, and spake unto them of the kingdom of God, and
healed them that had need of healing.


44:004:022 For the man was above forty years old, on whom this miracle of
healing was shewed.

44:010:038 How God anointed Jesus of Nazareth with the Holy Ghost and
with power: who went about doing good, and healing all that
were oppressed of the devil; for God was with him.

46:012:004 Now there are diversities of gifts, but the same Spirit.

46:012:005 And there are differences of administrations, but the same
Lord.

46:012:006 And there are diversities of operations, but it is the same
God which worketh all in all.

46:012:007 But the manifestation of the Spirit is given to every man to
profit withal.

46:012:008 For to one is given by the Spirit the word of wisdom; to
another the word of knowledge by the same Spirit;

46:012:009 To another faith by the same Spirit; to another the gifts of
healing by the same Spirit;

46:012:028 And God hath set some in the church, first apostles,
secondarily prophets, thirdly teachers, after that miracles,
then gifts of healings, helps, governments, diversities of
tongues.

46:012:030 Have all the gifts of healing? do all speak with tongues? do
all interpret?

66:022:002 In the midst of the street of it, and on either side of the
river, was there the tree of life, which bare twelve manner of
fruits, and yielded her fruit every month: and the leaves of
the tree were for the healing of the nations.


Here I turn to the Old Testament...

24:014:017 Therefore thou shalt say this word unto them; Let mine eyes
run down with tears night and day, and let them not cease: for
the virgin daughter of my people is broken with a great
breach, with a very grievous blow.

24:014:018 If I go forth into the field, then behold the slain with the
sword! and if I enter into the city, then behold them that are
sick with famine! yea, both the prophet and the priest go
about into a land that they know not.

24:014:019 Hast thou utterly rejected Judah? hath thy soul lothed Zion?
why hast thou smitten us, and there is no healing for us? we
looked for peace, and there is no good; and for the time of
healing, and behold trouble!

24:030:011 For I am with thee, saith the LORD, to save thee: though I
make a full end of all nations whither I have scattered thee,
yet I will not make a full end of thee: but I will correct
thee in measure, and will not leave thee altogether
unpunished.

24:030:012 For thus saith the LORD, Thy bruise is incurable, and thy
wound is grievous.

24:030:013 There is none to plead thy cause, that thou mayest be bound
up: thou hast no healing medicines.

24:030:014 All thy lovers have forgotten thee; they seek thee not; for I
have wounded thee with the wound of an enemy, with the
chastisement of a cruel one, for the multitude of thine
iniquity; because thy sins were increased.

Saturday, August 08, 2009

Why is Feudalism no longer valid?

As the world becomes more populated and communications more pervasive, older elements of human social systems become tested under the weight of sustainability.

A very good online course is offered at Fordham University via their website. The following medieval history course offered in 1998 is an example of a garden plot of issues confronting modern changes to older ways.

See: http://www.fordham.edu/halsall/medieval.html


So what can anyone offer for an argument that Feudalism is losing validity as an authority in modern life under modern law?

Chapter 18 titled, "Class 18 Secular Society: The Aristocratic Culture and Peasant Life", is somewhere in the meta temporal region where the American Constitution broke away from the empires of Europe leaving choices of government open to the sources of past success and failure.

The one advance in theoretical thought that predicted the mathematics of future development, was Harmonic Series Analysis, (or so it is my belief).

See: http://userwww.sfsu.edu/~efc/classes/biol710/timeseries/timeseries1.htm

How is this my belief? http://www.math.niu.edu/~rusin/known-math/index/43-XX.html

It was stated somewhere that the troubadors of the Old World were responsible for altering the views of feudal courts.

Music is a product of a harmonic system, and can be analysed by Fourier Transforms. Both music and Fourier transforms of harmonics have been in existence for a thousand years or so.

If the failure of intuition to come to a valid deductive conclusion leads to error, what is assumed to be a remedy?

The rise of Hedonism is an example of a harmonic series transformation resulting in an oscillation.

In the theories that make radio work, the destructive aspect of harmonics (sympathetic frequencies) become feedback loop screeching.

Thus, the boom and bust aspect of human life resembles a symphony of harmonics that can have meaning or simply be mean.

Extremism, compromise. radicalism, socialism, feudalism, etc. are descriptive terms of process.

If they (events of process) are subject to series analysis as deductive reasoning, can they inductively and accurately predict in time?

Broadcasting is not shouting in the same sense of the word meaning to raise one's voice. Yet the amplification of sound by electrical energy as alternating current is no new phenomenon.

What does a megaphone do that an amplified audio system does not and how are they different?

I think it has to with rates of rates.

Ever wonder?

I clipped the following as an an example:

"Find and Compare prices on large free us map at Smarter.com.
www.smarter.com"

Whaddya stupid?

Startrek TV series

In 1968, the third season of "Star Trek" ran an episode called, "The Enterprise Incident". It begins with a recap of the changes in Capt. Kirk's moods and personality. Kirk then orders the ship directly into Romulan territory without permission or orders from Starfleet command.

When captured, the ship's crew notices that the Romulans have adopted Klingon ship designs in their fleet as well as a revelation of a new "cloaking device" making Federation vessels vulnerable.

As the plot progresses, an exchange of personnel (two for two) and orders to self destruct if attacked, leave Lt. Cdr. Scott in command while the conflict is negotiated aboard the Romulan flagship.

During an argument between the Romulan captain, Kirk, and Spock, the issue of the value of truth emerges. Spock says, "Hiding the truth does not make it a lie."

The plot then takes different turns as the characters are led and tempted to the conclusion of the episode.

The point is the statement made by Spock regarding the value of truth. Absence of evidence does not invalidate an inductive conclusion.

Friday, August 07, 2009

Post Hoc Ergo Propter Hoc

Post Hoc fallacies are growing not only in mere number, but actually account for bad laws which are falsely justified by unsound reason. Judgments in courts have been known to be a result of this fallacy sending innocent people to punishment. False judgments have acquitted the guilty.

Literally, Post Hoc means after the fact therefore the cause of the fact. Sometimes this is true. Cause and effect are common in everyday life. However, multiple causation, pure coincidence, and corellation do not always cause the effects they are stated to effect. The arts of magic are based on this fallacy. Advertising, propaganda, rumors, tall tales, gossip, are even more examples of Non Causa, Pro Causa, as some forms of extortion and purgery can be.

However one should take metaphor, similie, syllogism, parable, allegory, etc. with careful thought since they are only models of process or principle, and not real facts.

See:http://www.livescience.com/culture/090525-obama-cheney-claims.html

See: http://www.fallacyfiles.org/posthocf.html

Also: http://www.drury.edu/ess/Logic/Informal/Post_Hoc__Ergo_Propter.html

On logic and truth tables:

http://www.philosophypages.com/lg/e11a.htm


Implication as correllation also remains questionable when concluding cause and effect.

From the U.K. - http://www.chapmancentral.co.uk/wiki/Correlation_does_not_imply_causation

Critical reasoning is the only recourse to jumping to conclusions.

In the KJV Bible we find:

Luke (42:)024:011 And their words seemed to them as idle tales, and they
believed them not.


Proverbs 14:12 There is a way which seemeth right unto a man, but the end thereof are the ways of death.

Proverbs 18:12 Before destruction the heart of man is haughty, and before
honour is humility.

18:13 He that answereth a matter before he heareth it, it is folly and
shame unto him.

18:14 The spirit of a man will sustain his infirmity; but a wounded
spirit who can bear? 18:15 The heart of the prudent getteth
knowledge; and the ear of the wise seeketh knowledge.

18:16 A man's gift maketh room for him, and bringeth him before great
men.

18:17 He that is first in his own cause seemeth just; but his
neighbour cometh and searcheth him.

18:18 The lot causeth contentions to cease, and parteth between the
mighty.

18:19 A brother offended is harder to be won than a strong city: and
their contentions are like the bars of a castle.

Luke (Book 42)

42:008:016 No man, when he hath lighted a candle, covereth it with a
vessel, or putteth it under a bed; but setteth it on a
candlestick, that they which enter in may see the light.

42:008:017 For nothing is secret, that shall not be made manifest;
neither any thing hid, that shall not be known and come
abroad.

42:008:018 Take heed therefore how ye hear: for whosoever hath, to him
shall be given; and whosoever hath not, from him shall be
taken even that which he seemeth to have.

Verse 18 He is referring to truth as conclusion from valid reason.

1 Corinthians 3:18 Let no man deceive himself. If any man among you seemeth to be
wise in this world, let him become a fool, that he may be
wise.

Here's one in terms of Economics. Timely if not incessantly recurring.

http://accounting.suite101.com/article.cfm/three_common_economic_fallacies

Questions


If a=b and b=c, does a=c?



Most would say, "yes".

Yet it begs a question.

If all these are equal, what is the use of an alphabet

to contradict the definition of equality?

1=1, not 1=2

Or,

a, b, and c are different letters (symbols).

One vowel and two consonants.

We know that a vowel and a consonant are not the same.

So, does that not imply (=>) a contradiction?

a=a, b=b, c=c

What is missing is the "rule" that changes the "rule".

Letters of an alphabet are used to represent (symbolize) specific unknowns.

Remaking the rules redefines the process.

To validate or justify the argument, the statements as unknowns are symbolized.

An example of this is also a fallacy

Known as the "Texas Sharpshooter" fallacy,

A man shoots a number of holes in the side of a barn.

Then he paints a circular ring target around the center of the cluster of holes.

When the paint dries, he claims his marksmanship.

Thursday, August 06, 2009

Good argument bad argument

A fallacy is roughly defined as bad reasoning.


See: http://dictionary.reference.com/browse/fallacy


Types of fallcies at:

http://www.fallacyfiles.org/index.html

Download a copy of Fallacy Tutorial

http://www.macinmind.com/

Examples?

http://www.unc.edu/depts/wcweb/handouts/fallacies.html

Caution: You may lose your friends for being a "smartass".

What's symbolic logic got to do with it?

For (a => b) ^ (b => c) Where (=>) = "implies", (^) = Boolean AND (&)
For (+)=XOR, (v)=OR

Value,a,b,c,
True,T,T,T
True,T,T,F
True,T,F,T
True,T,F,F
True,F,T,T
True,F,T,F
True,F,F,T
True,F,F,F

What's the point? To analyze the "truth" value of statements in an argument, propositions and conclusions must agree. (Even the notation must agree consistently!)

"A tautology's truth is certain. A proposition's truth is possible. A contradiction's truth is impossible."
-Ludwig Wittgenstein, Tractatus Logico-Philosophicus, Vienna, 1918

More of the same shows how complex an analysis can become...

For (a=>b)^(b=>c)+(avb)=>c

Value,a,b,c,
True,T,T,T
False,T,T,F
True,T,F,T
False,T,F,F
True,F,T,T
False,F,T,F
True,F,F,T
False,F,F,F

Epistemology

Luke 24
15And it came to pass, that, while they communed together and reasoned, Jesus himself drew near, and went with them.

16But their eyes were holden that they should not know him.

31And their eyes were opened, and they knew him; and he vanished out of their sight.


There is no proof of ignorance more common than conceit of knowledge. Much may be known, when nothing is known to good purpose. And those who think they know any thing, and grow vain thereon, are the least likely to make good use of their knowledge.-Matthew Henry's Concise Commentary, 1Cor8:1

Two Kinds of Time

TEMPORAL TIME IN WHICH EVENTS CAN BE RECKONED

ETERNAL TIME IN WHICH EVENTS CANNOT BE RECKONED, BUT DO OCCUR

40:017:020 And Jesus said unto them, Because of your unbelief: for verily
I say unto you, If ye have faith as a grain of mustard seed,
ye shall say unto this mountain, Remove hence to yonder place;
and it shall remove; and nothing shall be impossible unto you.

40:019:023 Then said Jesus unto his disciples, Verily I say unto you,
That a rich man shall hardly enter into the kingdom of heaven.

40:019:024 And again I say unto you, It is easier for a camel to go
through the eye of a needle, than for a rich man to enter into
the kingdom of God.

40:019:025 When his disciples heard it, they were exceedingly amazed,
saying, Who then can be saved?

40:019:026 But Jesus beheld them, and said unto them, With men this is
impossible; but with God all things are possible.

40:024:023 Then if any man shall say unto you, Lo, here is Christ, or
there; believe it not.

40:024:024 For there shall arise false Christs, and false prophets, and
shall shew great signs and wonders; insomuch that, if it were
possible, they shall deceive the very elect.

41:009:023 Jesus said unto him, If thou canst believe, all things are
possible to him that believeth.

42:017:001 Then said he unto the disciples, It is impossible but that
offences will come: but woe unto him, through whom they come!

42:018:026 And they that heard it said, Who then can be saved?

42:018:027 And he said, The things which are impossible with men are
possible with God.

44:002:022 Ye men of Israel, hear these words; Jesus of Nazareth, a man
approved of God among you by miracles and wonders and signs,
which God did by him in the midst of you, as ye yourselves
also know:

44:002:023 Him, being delivered by the determinate counsel and
foreknowledge of God, ye have taken, and by wicked hands have
crucified and slain:

44:002:024 Whom God hath raised up, having loosed the pains of death:
because it was not possible that he should be holden of it.

44:002:025 For David speaketh concerning him, I foresaw the Lord always
before my face, for he is on my right hand, that I should not
be moved:

44:002:026 Therefore did my heart rejoice, and my tongue was glad;
moreover also my flesh shall rest in hope:

44:002:027 Because thou wilt not leave my soul in hell, neither wilt thou
suffer thine Holy One to see corruption.

44:002:028 Thou hast made known to me the ways of life; thou shalt make
me full of joy with thy countenance.

44:002:029 Men and brethren, let me freely speak unto you of the
patriarch David, that he is both dead and buried, and his
sepulchre is with us unto this day.

44:002:030 Therefore being a prophet, and knowing that God had sworn with
an oath to him, that of the fruit of his loins, according to
the flesh, he would raise up Christ to sit on his throne;

44:002:031 He seeing this before spake of the resurrection of Christ,
that his soul was not left in hell, neither his flesh did see
corruption.

44:002:032 This Jesus hath God raised up, whereof we all are witnesses.

44:002:033 Therefore being by the right hand of God exalted, and having
received of the Father the promise of the Holy Ghost, he hath
shed forth this, which ye now see and hear.

44:002:034 For David is not ascended into the heavens: but he saith
himself, The Lord said unto my Lord, Sit thou on my right
hand,

44:002:035 Until I make thy foes thy footstool.

45:012:005 So we, being many, are one body in Christ, and every one
members one of another.

45:012:006 Having then gifts differing according to the grace that is
given to us, whether prophecy, let us prophesy according to
the proportion of faith;

45:012:007 Or ministry, let us wait on our ministering: or he that
teacheth, on teaching;

45:012:008 Or he that exhorteth, on exhortation: he that giveth, let him
do it with simplicity; he that ruleth, with diligence; he that
sheweth mercy, with cheerfulness.

45:012:009 Let love be without dissimulation. Abhor that which is evil;
cleave to that which is good.

45:012:010 Be kindly affectioned one to another with brotherly love; in
honour preferring one another;

45:012:011 Not slothful in business; fervent in spirit; serving the Lord;

45:012:012 Rejoicing in hope; patient in tribulation; continuing instant
in prayer;

45:012:013 Distributing to the necessity of saints; given to hospitality.

45:012:014 Bless them which persecute you: bless, and curse not.

45:012:015 Rejoice with them that do rejoice, and weep with them that
weep.

45:012:016 Be of the same mind one toward another. Mind not high things,
but condescend to men of low estate. Be not wise in your own
conceits.

45:012:017 Recompense to no man evil for evil. Provide things honest in
the sight of all men.

45:012:018 If it be possible, as much as lieth in you, live peaceably
with all men.

45:012:019 Dearly beloved, avenge not yourselves, but rather give place
unto wrath: for it is written, Vengeance is mine; I will
repay, saith the Lord.

45:012:020 Therefore if thine enemy hunger, feed him; if he thirst, give
him drink: for in so doing thou shalt heap coals of fire on
his head.

45:012:021 Be not overcome of evil, but overcome evil with good.

45:013:001 Let every soul be subject unto the higher powers. For there is
no power but of God: the powers that be are ordained of God.

45:013:002 Whosoever therefore resisteth the power, resisteth the
ordinance of God: and they that resist shall receive to
themselves damnation.

45:013:003 For rulers are not a terror to good works, but to the evil.
Wilt thou then not be afraid of the power? do that which is
good, and thou shalt have praise of the same:

45:013:004 For he is the minister of God to thee for good. But if thou do
that which is evil, be afraid; for he beareth not the sword in
vain: for he is the minister of God, a revenger to execute
wrath upon him that doeth evil.


Thursday, July 30, 2009

Along Came Leonhard Euler

"You can drink from the river without drying it up as long as you don't stop the rain or snow upstream"

Perhaps a simple analogy of balanced economics, but one must realise that credit is debt, and investment is asset. Is this all there is to it? What does work have to do with it? Gravity pulls together, heat transforms. Conservation of matter and energy claims that the system is closed. Work is defined as moving mass by force over distance and time. Not necessarily a product of pathetic fallacy, yet termed that way for convenience of agreement.

Convergence and divergence of finite and infinite series has been a sort of backbone to the body of modern technology seeking to determine its own existence by modifying an analysis of process.

Science News

"...the series of absolute values is the harmonic series, which has been
known to diverge since the 14th century (at least)."
http://home.att.net/~numericana/answer/analysis.htm#targetsum

"...it is always possible to add enough terms of the series to make up for
any (positive or negative) difference between the current sum and the
target S. That's because the series of the absolute values is divergent
(so both the series of negative terms and the series of positive terms
must be divergent, or else the whole series would not be convergent)."

"...simple convergence does not tell you much about the limit. The limit of
continuous functions may not be continuous..."

"Worse, the integral of the limit may not be equal to the limit of the
integrals..."

"This is why the notion of uniform convergence was introduced: We say
that a sequence of functions fn defined on some domain of definition D
converges uniformly to its limit f when it's always possible for any
positive quantity e to exhibit a number N(e) such that whenever n is
more than N(e), the quantity |fn(x)-f(x)| is less than e, for any x in
D. (Note that a "domain of definition" is not necessarily a "domain"
in the sense of an open region, ita est. Whenever it's critical, make
sure to specify which meaning of "domain" you have in mind.)"

"Uniform convergence does imply that the integral of the (uniform) limit
is the limit of the integrals. It also implies that the (uniform)
limit of continuous functions is continuous. Since you have a
discontinuous limit here, the convergence can't possibly be uniform..."

"The above settles the question, but you may also want (for educational
purposes) to show directly that it's not possible for a given (small
enough) quantity e>0 to find an N such that fn(x) would be within e of
its limit for any x whenever n>N. "

http://home.att.net/~numericana/answer/analysis.htm#targetsum