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Single Idea 23452

[filed under theme 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure ]

Full Idea

The discrimination of things for counting needs to bring with it the notion of identity (and, correlatively, distinctness).

Gist of Idea

Discriminating things for counting implies concepts of identity and distinctness

Source

Michael Morris (Guidebook to Wittgenstein's Tractatus [2008], Intro.5)

Book Ref

Morris,Michael: 'Guidebook to Wittgenstein's Tractatus' [Routledge 2008], p.15


A Reaction

Morris is exploring how practices like counting might reveal necessary truths about the world.


The 7 ideas from Michael Morris

To count, we must distinguish things, and have a series with successors in it [Morris,M]
Interpreting a text is representing it as making sense [Morris,M]
Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
Bipolarity adds to Bivalence the capacity for both truth values [Morris,M]
There must exist a general form of propositions, which are predictabe. It is: such and such is the case [Morris,M]
Conjunctive and disjunctive quantifiers are too specific, and are confined to the finite [Morris,M]