Five Departures in Logic, Mathematics, and thus—Whether We Like It, or Not—in Physics as Well...

详细信息    查看全文

• 作者：Elemér E. Rosinger
• 关键词：Self ; reference ; Contradiction ; Semantic–syntactic axioms ; Non ; Archimedean scalars
• 刊名：Foundations of Physics
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：45
• 期：7
• 页码：799-805
• 全文大小：355 KB
• 参考文献：1.Gribbin, J.: In Search of the Multiverse. Penguin Books, Westminster (2009)
  2.Rosinger, E. E.: Heisenberg Uncertainty in Reduced Power Algebras. arXiv:-901.-825 . Cited 5 Jan 2015 (2009)
  3.Rosinger, E. E.: No-Cloning in Reduced Power Algebras Authors. arXiv:-902.-264 . Cited 5 Jan 2015 (2009)
  4.Rosinger, E. E.: On the Safe Use of Inconsistent Mathematics. arXiv:-811.-405 . Cited 5 Jan 2015 (2009)
  5.Rosinger, E. E.: Special Relativity in Reduced Power Algebras. arXiv:-903.-296 . Cited 5 Jan 2015 (2010)
  6.Rosinger, E. E.: Four Departures in Mathematics and Physics. arXiv:-003.-360 . Cited 5 Jan 2015 (2010)
  7.Rosinger, E. E.: Five Departures in Mathematics, and thus—Either We Like It, or Not, in Physics as Well... http://?hal.?archives-ouvertes.?fr/?hal-00802273 . arXiv:-303.-136 . Cited 5 Jan 2015 (2013)
  8.Rosinger, E. E.: Syntactic–Semantic Axiomatic Theories in Mathematics. http://?hal.?archives-ouvertes.?fr/?hal-00802644 . arXiv:-303.-147 . Cited 5 Jan 2015 (2013)
  9.Rosinger, E. E. and Van Zyl, A.: Self-Referential Definition of Orthogonality. arXiv:-904.-082 . Cited 5 Jan 2015 (2009)
  
• 作者单位：Elemér E. Rosinger (1)
  
  1. Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, 0002, South Africa
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Relativity and Cosmology
  Biophysics and Biomedical Physics
  Mechanics
  Condensed Matter
  
• 出版者：Springer Netherlands
• ISSN：1572-9516

文摘

Physics depends on “physical intuition- much of which is formulated in terms of Mathematics. Mathematics itself depends on Logic. The paper presents three latest novelties in Logic which have major consequences in Mathematics. Further, it presents two possible significant departures in Mathematics itself. These five departures can have major implications in Physics. Some of them are indicated, among them in Quantum Mechanics and Relativity.