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Single Idea 23548

[filed under theme 5. Theory of Logic / A. Overview of Logic / 6. Classical Logic ]

Full Idea

I now believe that the existence of indeterminacy is in conflict with classical logic.

Gist of Idea

Indeterminacy is in conflict with classical logic

Source

Kit Fine (Vagueness: a global approach [2020], 3)

Book Ref

Fine,Kit: 'Vagueness: a global approach' [OUP 2020], p.69


A Reaction

I think that prior to this Fine had defended classical logic. Presumably the difficulty is over Bivalence. Nietzsche spotted this problem, despite not being a logician. Logic has to simplify the world. Hence philosophy is quite different from logic.

Related Idea

Idea 7144 Logic must falsely assume that identical cases exist [Nietzsche]


The 10 ideas from 'Vagueness: a global approach'

Classical semantics has referents for names, extensions for predicates, and T or F for sentences [Fine,K]
Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K]
Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K]
Identifying vagueness with ignorance is the common mistake of confusing symptoms with cause [Fine,K]
Supervaluation can give no answer to 'who is the last bald man' [Fine,K]
We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K]
We do not have an intelligible concept of a borderline case [Fine,K]
Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K]
Indeterminacy is in conflict with classical logic [Fine,K]
It seems absurd that there is no identity of any kind between two objects which involve survival [Fine,K]