Ordinal notation

Results: 59



#Item
31Proof theory / Model theory / Z notation / Formal systems / Reverse mathematics / Second-order arithmetic / Peano axioms / Zermelo–Fraenkel set theory / Ordinal analysis / Logic / Mathematical logic / Mathematics

Reverse Mathematics Benedict Eastaugh December 13, 2011 In ordinary mathematical practice, mathematicians prove theorems, reasoning from a fixed1 set of axioms to a logically derivable conclusion. The axioms in play are

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Source URL: extralogical.net

Language: English - Date: 2014-05-22 10:36:49
32Computability theory / Proof theory / Theory of computation / Cardinal numbers / Ordinal notation / Limit ordinal / Recursively enumerable set / Recursive ordinal / Large countable ordinal / Mathematical logic / Mathematics / Ordinal numbers

Objective mathematics in a finite unbounded universe Paul Budnik Mountain Math Software [removed] February 24, 2014

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Source URL: mtnmath.com

Language: English - Date: 2014-02-24 17:59:08
33Ordinal notation / Ordinal arithmetic / Limit ordinal / Veblen function / Admissible ordinal / Constructible universe / First uncountable ordinal / Large countable ordinal / Ordinal numbers / Mathematical logic / Mathematics

An overview of the ordinal calculator Paul Budnik Mountain Math Software [removed] c[removed]Mountain Math Software Copyright

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Source URL: mtnmath.com

Language: English - Date: 2012-08-03 19:43:24
34Set theory / Ordinal notation / Recursive ordinal / Limit ordinal / Large countable ordinal / Continuum hypothesis / Infinity / First uncountable ordinal / Enumeration / Mathematical logic / Ordinal numbers / Mathematics

Generalizing Kleene’s O to ordinals ≥ ω1CK Paul Budnik Mountain Math Software [removed] c 2012 Mountain Math Software Copyright

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Source URL: mtnmath.com

Language: English - Date: 2012-08-03 19:32:45
35Ordinal numbers / Computability theory / Proof theory / Theory of computation / Ordinal notation / Recursively enumerable set / Reverse mathematics / Enumeration / Continuum hypothesis / Mathematical logic / Mathematics / Logic

Incompleteness versus a Platonic multiverse Paul Budnik Mountain Math Software [removed] c 2013 Mountain Math Software

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Source URL: mtnmath.com

Language: English - Date: 2013-06-12 13:25:59
36Set theory / Ordinal notation / Recursive ordinal / Limit ordinal / Large countable ordinal / Continuum hypothesis / Infinity / First uncountable ordinal / Enumeration / Mathematical logic / Ordinal numbers / Mathematics

Generalizing Kleene’s O to ordinals ≥ ω1CK Paul Budnik Mountain Math Software [removed] c 2012 Mountain Math Software Copyright

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Source URL: www.mtnmath.com

Language: English - Date: 2012-08-03 19:32:45
37Ordinal numbers / Computability theory / Proof theory / Theory of computation / Ordinal notation / Recursively enumerable set / Reverse mathematics / Enumeration / Continuum hypothesis / Mathematical logic / Mathematics / Logic

Incompleteness versus a Platonic multiverse Paul Budnik Mountain Math Software [removed] c 2013 Mountain Math Software

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Source URL: www.mtnmath.com

Language: English - Date: 2013-06-12 13:25:59
38Ordinal notation / Ordinal arithmetic / Limit ordinal / Veblen function / Admissible ordinal / Constructible universe / First uncountable ordinal / Large countable ordinal / Ordinal numbers / Mathematical logic / Mathematics

An overview of the ordinal calculator Paul Budnik Mountain Math Software [removed] c[removed]Mountain Math Software Copyright

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Source URL: www.mtnmath.com

Language: English - Date: 2012-08-03 19:43:24
39Computability theory / Proof theory / Theory of computation / Cardinal numbers / Ordinal notation / Limit ordinal / Recursively enumerable set / Recursive ordinal / Large countable ordinal / Mathematical logic / Mathematics / Ordinal numbers

Objective mathematics in a finite unbounded universe Paul Budnik Mountain Math Software [removed] February 24, 2014

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Source URL: www.mtnmath.com

Language: English - Date: 2014-02-24 17:59:08
40Ordinal numbers / Axioms of set theory / Z notation / Constructible universe / Ordinal arithmetic / Axiom of regularity / S / Hartogs number / Reflection principle / Mathematical logic / Mathematics / Set theory

Axiomatic Set Theory: Problem sheet[removed]a) Assuming ZF (ie. ZF∗ +Foundation) prove that the following two definitions of “ordinal” are equivalent: (i) An ordinal is a transitive set well-ordered by ∈. (ii) An o

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2010-02-03 12:15:01
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