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Single Idea 12453

[filed under theme 6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism ]

Full Idea

Neo-intuitionism sees the falling apart of moments, reunited while remaining separated in time, as the fundamental phenomenon of human intellect, passing by abstracting to mathematical thinking, the intuition of bare two-oneness.

Gist of Idea

Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness

Source

Luitzen E.J. Brouwer (Intuitionism and Formalism [1912], p.80)

Book Ref

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.80


A Reaction

[compressed] A famous and somewhat obscure idea. He goes on to say that this creates one and two, and all the finite ordinals.


The 5 ideas from 'Intuitionism and Formalism'

Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman]
Scientific laws largely rest on the results of counting and measuring [Brouwer]
Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer]
Intuitionists only accept denumerable sets [Brouwer]
Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer]