Combining Philosophers
Ideas for Zoroaster, Harr�,R./Madden,E.H. and Crispin Wright
expand these ideas
|
start again
|
choose
another area for these philosophers
display all the ideas for this combination of philosophers
10 ideas
6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic
|
17441
|
Wright thinks Hume's Principle is more fundamental to cardinals than the Peano Axioms are [Wright,C, by Heck]
|
|
13862
|
There are five Peano axioms, which can be expressed informally [Wright,C]
|
|
17853
|
Number truths are said to be the consequence of PA - but it needs semantic consequence [Wright,C]
|
|
17854
|
What facts underpin the truths of the Peano axioms? [Wright,C]
|
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
|
13894
|
Sameness of number is fundamental, not counting, despite children learning that first [Wright,C]
|
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / d. Hume's Principle
|
10140
|
We derive Hume's Law from Law V, then discard the latter in deriving arithmetic [Wright,C, by Fine,K]
|
|
8692
|
Frege has a good system if his 'number principle' replaces his basic law V [Wright,C, by Friend]
|
|
17440
|
Wright says Hume's Principle is analytic of cardinal numbers, like a definition [Wright,C, by Heck]
|
|
13893
|
It is 1-1 correlation of concepts, and not progression, which distinguishes natural number [Wright,C]
|
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
|
13888
|
If numbers are extensions, Frege must first solve the Caesar problem for extensions [Wright,C]
|