The Logic of Number
Neil Tennant
In The Logic of Number, Neil Tennant defines and develops his
Natural Logicist account of the foundations of the natural, rational,
and real numbers. Based on the logical system free Core Logic, the
central method is to formulate rules of natural deduction governing
variable-binding number-abstraction operators and other
logico-mathematical expressions such as zero and successor. These enable
'single-barreled' abstraction, in contrast with the 'double-barreled'
abstraction effected by principles such as Frege's Basic Law V, or
Hume's Principle.
Natural Logicist account of the foundations of the natural, rational,
and real numbers. Based on the logical system free Core Logic, the
central method is to formulate rules of natural deduction governing
variable-binding number-abstraction operators and other
logico-mathematical expressions such as zero and successor. These enable
'single-barreled' abstraction, in contrast with the 'double-barreled'
abstraction effected by principles such as Frege's Basic Law V, or
Hume's Principle.
Kategori:
Tahun:
2022
Penerbit:
Oxford University Press
Bahasa:
english
Halaman:
384
ISBN 10:
0192846671
ISBN 13:
9780192846679
File:
PDF, 7.96 MB
IPFS:
,
english, 2022
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