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Single Idea 13623

[from 'Intermediate Logic' by David Bostock, in 5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |- ]

Full Idea

The syntactic turnstile |- φ means 'There is a proof of φ' (in the system currently being considered). Another way of saying the same thing is 'φ is a theorem'.

Gist of Idea

The syntactic turnstile |- φ means 'there is a proof of φ' or 'φ is a theorem'

Source

David Bostock (Intermediate Logic [1997], 5.1)

Book Reference

Bostock,David: 'Intermediate Logic' [OUP 1997], p.192


Related Ideas

Idea 13348 It seems more natural to express |= as 'therefore', rather than 'entails' [Bostock]

Idea 13349 Γ|=φ is 'entails'; Γ|= is 'is inconsistent'; |=φ is 'valid' [Bostock]