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What in the hell does axiomatic mean?


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9 minutes ago, MickinMD said:

Western philosophical argument and logic is divided into two periods: Presocratic and Socratic.

The logic displayed in the writings of Plato (Socrates' student) and Aristotle (Plato's student) set the standard for debate based on truth and logic.

But there has to be an agreement among the arguers where the debate starts and potentially leaves the truth.

In ancient Greek, axíōma means 'that which is thought worthy or fit' and is the highest place of common belief among Socratic debate.

For example, the ancients often debated whether "things are many" or "things are one" (the atomists claimed things were made of one kind of small thing) but they all agreed on the axíōma that there were "things" that exhibited many different physical properties: the question was that if you kept cutting them in half, in half again, etc. would they eventually break down into something else (atoms)? Really interesting arguments. For example: The philosopher Zeno said, "If things are many, then you can't walk to the door.  You have to walk halfway first, then halfway of the half that's left, then the remaining halfway, etc. etc. and there would be an endless number of halfways."  I wasn't until the 1900's that scientists realized that a REAL-world line cannot be divided into an infinite number of existing points like math does: there is a minimum "quantum" length. Zeno and the other atomists had it right 2500 years ago!

So, the word "axiom" entered English as meaningc"a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments." - Wikipedia

It's derivative, "axiomatic," then logically means " self-evident, unquestionable or taken for granted," - Miriam-Webster Dictionary

As in: "MickinMD's posts tend to be long."

 

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57 minutes ago, MickinMD said:

Western philosophical argument and logic is divided into two periods: Presocratic and Socratic.

The logic displayed in the writings of Plato (Socrates' student) and Aristotle (Plato's student) set the standard for debate based on truth and logic.

But there has to be an agreement among the arguers where the debate starts and potentially leaves the truth.

In ancient Greek, axíōma means 'that which is thought worthy or fit' and is the highest place of common belief among Socratic debate.

For example, the ancients often debated whether "things are many" or "things are one" (the atomists claimed things were made of one kind of small thing) but they all agreed on the axíōma that there were "things" that exhibited many different physical properties: the question was that if you kept cutting them in half, in half again, etc. would they eventually break down into something else (atoms)? Really interesting arguments. For example: The philosopher Zeno said, "If things are many, then you can't walk to the door.  You have to walk halfway first, then halfway of the half that's left, then the remaining halfway, etc. etc. and there would be an endless number of halfways."  I wasn't until the 1900's that scientists realized that a REAL-world line cannot be divided into an infinite number of existing points like math does: there is a minimum "quantum" length. Zeno and the other atomists had it right 2500 years ago!

So, the word "axiom" entered English as meaningc"a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments." - Wikipedia

It's derivative, "axiomatic," then logically means " self-evident, unquestionable or taken for granted," - Miriam-Webster Dictionary

As in: "MickinMD's posts tend to be long."

 

Word.

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