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.