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6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / c. Robinson arithmetic

[an intermediate axiomatisation of arithmetic, to show basics]

2 ideas
Robinson Arithmetic 'Q' has basic axioms, quantifiers and first-order logic [Smith,P]
     Full Idea: We can beef up Baby Arithmetic into Robinson Arithmetic (referred to as 'Q'), by restoring quantifiers and variables. It has seven generalised axioms, plus standard first-order logic.
     From: Peter Smith (Intro to Gödel's Theorems [2007], 08.3)
Robinson Arithmetic (Q) is not negation complete [Smith,P]
     Full Idea: Robinson Arithmetic (Q) is not negation complete
     From: Peter Smith (Intro to Gödel's Theorems [2007], 08.4)