Visualization of intuitive set theory

Nambiar, K.K.

doi:10.1016/s0898-1221(00)00305-9

Cited by 3 publications

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“…In an earlier paper [1], it was shown that Zermelo-Fraenkel set theory gets considerably simplified, if we add two axioms, Monotonicity and Fusion, to it. In the resulting intuitive set theory (IST), the continuum hypothesis is a theorem, axiom of choice is a theorem, Skolem Paradox does not crop up, non-Lebesgue measurable sets are not possible, and the unit interval splits into a set of infinitesimals with cardinality ℵ 0 [1,2]. This paper shows that IST can be used to visualize the infinite physical space around us as a set.…”

Section: Introductionmentioning

confidence: 99%

White hole, black whole, and The Book

Nambiar¹

2002

Computers & Mathematics with Applications

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Section: Introductionmentioning

confidence: 99%

White hole, black whole, and The Book

Nambiar¹

2002

Computers & Mathematics with Applications

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“…The primary purpose of this paper is to give a clear definition of intuitive set theory (IST), so that researchers have all the necessary background to investigate the consistency of the two axioms that define IST [1,2,4]. Gödel tells us that even though we are not in a position to prove the consistency of a significant theory, we can prove its inconsistency, if it is inconsistent.…”

Section: Introductionmentioning

confidence: 99%

Intuitive set theory

Nambiar¹

2000

Computers & Mathematics with Applications

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Relationships between Mental Health and Physical/Mental Symptoms

et al. 2019

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The physical and mental symptoms complained of by students showing a tendency toward neurosis were examined. [Participants and Methods] A collective survey was conducted in February 2015, involving 88 first-year students belonging to the Department of Physical Therapy of a 4-year university and using the Cornell Medical Index. [Results] On comparing healthy students and those showing a tendency toward neurosis, there were differences between them in subscales other than past diseases and habits, as the latter showed significantly higher values. [Conclusion] As mental symptoms in students showing a tendency toward neurosis, they were characterized by being temperamental, such as getting angry and taking offence on the slightest provocation, while frequently becoming depressed. As for their physical symptoms, they complained of various conditions, such as reduced vision, feeling suffocated, headaches, and fatigue. Students with a complaint of these conditions may have a tendency toward neurosis, and need special consideration.

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Visualization of intuitive set theory

Cited by 3 publications

References 2 publications

White hole, black whole, and The Book

White hole, black whole, and The Book

Intuitive set theory

Relationships between Mental Health and Physical/Mental Symptoms

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