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Ideas of Giuseppe Peano, by Text
[Italian, 1858 - 1932, Professor at Turin.]
1889
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Principles of Arithmetic, by a new method
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1.2
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p.3
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15653
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We can add Reflexion Principles to Peano Arithmetic, which assert its consistency or soundness [Halbach]
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11
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p.48
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13949
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All models of Peano axioms are isomorphic, so the models all seem equally good for natural numbers [Cartwright,R]
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6.3
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p.183
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18113
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PA concerns any entities which satisfy the axioms [Bostock]
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p.276
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p.276
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17634
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Peano axioms not only support arithmetic, but are also fairly obvious [Russell]
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p.276
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p.276
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17635
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Arithmetic can have even simpler logical premises than the Peano Axioms [Russell]
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p.245
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5897
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0 is a non-successor number, all successors are numbers, successors can't duplicate, if P(n) and P(n+1) then P(all-n) [Flew]
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p.279
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3338
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Numbers have been defined in terms of 'successors' to the concept of 'zero' [Blackburn]
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