Synapse
⌘+K
Synapse
PulseExploreClubsResearchersJournals
Instagram
HomeClubsExplore
August 26, 2025Open Access

Paradoxes of Infinity as Reductio ad Absurdum

View Full Paper
Ask AI
Bookmark
Share

Authors

YAYosef Akhtman

Discussion

Loading...

Member takes

Overview

This analysis reveals contradictions in traditional views on infinity, suggesting a finite foundation may avoid paradoxes.

Key Points

  • Rejecting infinite registries resolves contradictions in Gödel's incompleteness theory, leading to a coherent alternative.
  • Inconsistencies arise when combining traditional infinities with coherence assumptions like consistency and completeness.
  • The framework introduces finite structures to replace infinitary methods, maintaining practical mathematical functionality.
  • The findings promote a mathematics that is paradox-free, pivoting on finite and relational foundations over infinite constructs.

Cite This Study

Yosef Akhtman (2025) studied this question.

synapsesocial.com/papers/68af63efad7bf08b1eae49behttps://doi.org/10.20944/preprints202508.1744.v1
View Full Paper
Ask AI
Bookmark
Share

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Infinitum and the New Paradigm of Mathematics: From Logical Necessity to the Complete Theory of the Geometric Quantum2026
  2. 2Diagonalization Links Cantor's Infinity Hierarchy to Gödel's Incompleteness — E8 Intelligence Research2026
  3. 3The Debates on Infinity: A Mathematical History Approach2024
  4. 4Unfolding Infinity: Fractal Counterarguments to Cantorian Formalism2025 · 1 citations
  5. 5Inverse Cantorian Infinity2026