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Single Idea 18120

[from 'Philosophy of Mathematics' by David Bostock, in 5. Theory of Logic / H. Proof Systems / 4. Natural Deduction ]

Full Idea

The Deduction Theorem is what licenses a system of 'natural deduction' in the first place.

Gist of Idea

The Deduction Theorem is what licenses a system of natural deduction

Source

David Bostock (Philosophy of Mathematics [2009], 7.2)

Book Reference

Bostock,David: 'Philosophy of Mathematics: An Introduction' [Wiley-Blackwell 2009], p.202


Related Ideas

Idea 15341 Deduction Theorem: ψ only derivable from φ iff φ→ψ are axioms [Horsten]

Idea 13524 Deduction Theorem: T∪{P}|-Q, then T|-(P→Q), which justifies Conditional Proof [Wolf,RS]

Idea 13615 'Conditonalised' inferences point to the Deduction Theorem: If Γ,φ|-ψ then Γ|-φ→ψ [Bostock]