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Gödel's ontological proof is a formal argument by the mathematician Kurt Gödel (1906–1978) for the existence of God. The argument is in a line of development that goes back to Anselm of Canterbury (1033–1109).
Gödel's ontological proof is a formal argument for God's existence by the mathematician Kurt Gödel. Can someone please explain what are the symbols in the proof and elaborate about its flow: $$ \be...
- The modal operator $\square$ refers to necessity; its dual, $\lozenge$, refers to possibility. (A sentence is necessarily true iff it isn't possib...
- The box is a modal operator (it is necessarily true that ...), with the diamond its dual (it is possibly true that ...). '$P(\varphi)$' holds when...
- I think dismissing an argument that stands foursquare in a 900 year tradition of logical discourse as a 'strange apparent aberration' is a little q...
- I think the most important matter in understanding Gödel's proof is the interpretation of $P$. In this respect, I would like to mention that the po...
Summary. Gödel's version of the modal ontological argument for the existence of God has been criticized by J. Howard Sobel [5] and modified by C. Anthony Anderson [1].
- C. Anthony Anderson, Michael Gettings
- 1996
A demonstração ontológica de Gödel é um argumento formal para a existência de Deus pelo matemático e filósofo Kurt Gödel (1906-1978). É uma linha de pensamento que data desde Anselmo de Cantuária (1033-1109).
14 de jul. de 2020 · So the only prime factorization of 243,000,000 is 2 6 × 3 5 × 5 6, meaning there’s only one possible way to decode the Gödel number: the formula 0 = 0. Gödel then went one step further. A mathematical proof consists of a sequence of formulas. So Gödel gave every sequence of formulas a unique Gödel number too.
11 de nov. de 2013 · Gödel’s Incompleteness Theorems. First published Mon Nov 11, 2013; substantive revision Thu Apr 2, 2020. Gödel’s two incompleteness theorems are among the most important results in modern logic, and have deep implications for various issues. They concern the limits of provability in formal axiomatic theories.
4 de jan. de 2023 · In his unpublished paper, the famous logician Kurt Gödel provided arguments in favor of the existence of God. These arguments are presented in a very formal way, which makes them difficult to understand to many interested readers. In this paper, we describe a...
