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Four AIs Review a Dissenting Paper on the Actual Infinity

Author:

Leon, Antonio

Category:

Research Papers

Sub-Category:

Mathematics and Applied Mathematics

Language:

English

Date Published:

February 26, 2025

File:

/Research Papers-Mathematics and Applied Mathematics/Download/10101

Downloads:

Keywords:

Artificial intelligence, actual infinity, w-order, dense order, Axiom of Infinity, spacetime.

Abstract:

This article comments on and discusses the opinions of four artificial intelligences (DeepSeek v3, ChatGPT o3-mini, Grok 3, and Gemini 2) regarding a published article by the author that challenges contemporary mathematical infinitism. None of them found a flaw in the proofs, yet none fully accepted the article’s content, highlighting their adherence to the hegemonic current of infinitist mathematical thought.

Comments

Steve Olah(Laguna Woods, United States):

If you find / locate a point as infinity, it is not infinity anymore.
There is no infinity within our Universe.
Once you are outside of the Universe, you are on your own. You can't get there.

Posted: March 02, 2025 @ 1:12:59 am

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J. Zwarts:

The AI's uniformly rejected your conclusion of inconsistency of the axiom of infinity.
They could however, not find an error. Let me (a HI) give it a try:

Once all possible comparisons* of x with the successive elements of Q01 have been made (an infinite process), the current value of x approaches 1/infinity.

This means that x/2, x/3, x/4....also approach 1/infinity and are certainly NOT smaller than x.

In simple words: if x = 1/infinity then x/2 = (1/infinity)/2 = 1/infinity as well.

You see that your "proof of inconsistency" is incorrect.

Posted: March 01, 2025 @ 4:36:26 pm

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