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19 votes
24 answers
7k views

Is there just one Zero?

Once i was discussing Zero with my kids, I picked up a pen and asked what it is they said 1 pen, then I kept the pen and showed them empty hand and asked how about now, they said Zero pen, then I ...
Ashish Shukla's user avatar
4 votes
2 answers
393 views

What is the meaning of Principle C'' in Hartry Field's 'Science Without Numbers'?

For Field, the following is 'perfectly obvious', but I would like confirmation that I understand it completely. Let A be a nominalistically statable assertion. Let A* be the assertion that results by ...
Amy's user avatar
  • 71
1 vote
0 answers
101 views

Do nominalists predicate everything equivocally?

Do nominalists predicate everything equivocally? Equivocal predication is when only the name is common between two things, for example: "bark" in tree bark and dog's bark.
Geremia's user avatar
  • 8,615
2 votes
0 answers
99 views

Nominalist views and contradictions

Given a flavor of nominalism which denies that simple sentences and existential quantifiers referring to mathematical objects are literally true (pretense theory, fictionalism, figuralism, etc.), ...
user20658's user avatar
  • 135
6 votes
1 answer
326 views

Can nominalist logicians reject universals but accept universal statements?

I am aware that Nominalism comes in at least two flavors, one in particular is the denial of universals. Under this paradigm of Nominalsim, is it possible for a mathematician or even a logician to be ...
J. Dunivin's user avatar