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Ideas of Thomas Hofweber, by Text
[German, fl. 2004, MA at Munich, PhD at Stanford. Professor at University of N.Carolina at Chapel Hill.]
2005

Number Determiners, Numbers, Arithmetic

§1

p.180

9998

What is the relation of number words as singularterms, adjectives/determiners, and symbols?

§2

p.183

10000

We might eliminate adjectival numbers by analysing them into blocks of quantifiers

§3.1

p.187

10001

An adjective contributes semantically to a noun phrase

§4.1

p.194

10002

'2 + 2 = 4' can be read as either singular or plural

§4.2

p.198

10003

Why is arithmetic hard to learn, but then becomes easy?

§4.3

p.199

10004

Our minds are at their best when reasoning about objects

§6.2

p.215

10005

Arithmetic doesn’t simply depend on objects, since it is true of fictional objects

§6.3

p.217

10006

Firstorder logic captures the inferential relations of numbers, but not the semantics

§6.3

p.218

10007

Quantifiers for domains and for inference come apart if there are no entities

§6.3

p.219

10008

Arithmetic is not about a domain of entities, as the quantifiers are purely inferential

2006

Inexpressible Properties and Propositions

2.1

p.163

17988

Quantification can't all be substitutional; some reference is obviously to objects

2.2

p.169

17989

Since properties have properties, there can be a typed or a typefree theory of them

5.3

p.195

17990

Instances of minimal truth miss out propositions inexpressible in current English

6.4

p.203

17991

Holism says language can't be translated; the expressibility hypothesis says everything can

2009

Ambitious, yet modest, Metaphysics

1.1

p.261

16413

Science has discovered properties of things, so there are properties  so who needs metaphysics?

2

p.273

16415

Esoteric metaphysics aims to be top science, investigating ultimate reality

2

p.274

16416

The quantifier in logic is not like the ordinary English one (which has empty names, nondenoting terms etc)
