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Ideas of Frank P. Ramsey, by Text
[British, 1903  1930, Cambridge University. Exceptional philosopher who died very young]
1925

The Foundations of Mathematics

§1

p.165

13425

Formalism is hopeless, because it focuses on propositions and ignores concepts

§1

p.168

13426

Formalists neglect content, but the logicists have focused on generalizations, and neglected form

§1

p.179

13427

Either 'a = b' vacuously names the same thing, or absurdly names different things

§2

p.191

13428

Reducibility: to every nonelementary function there is an equivalent elementary function

§5

p.222

13430

Infinity: there is an infinity of distinguishable individuals

p.171

p.26

13334

Contradictions are either purely logical or mathematical, or they involved thought and language

p.12

p.12

8494

Obviously 'Socrates is wise' and 'Socrates has wisdom' express the same fact

p.13

p.13

8495

The distinction between particulars and universals is a mistake made because of language

p.8

p.8

8493

We could make universals collections of particulars, or particulars collections of their qualities

1926

Truth and Probability


p.32

19143

Ramsey gave axioms for an uncertain agent to decide their preferences [Davidson]


p.396

13766

'If' is the same as 'given that', so the degrees of belief should conform to probability theory

1927

Facts and Propositions


p.16

3750

"It is true that x" means no more than x

p.51

p.102

18818

Sentence meaning is given by the actions to which it would lead


p.74

10993

Ramsey's Test: believe the consequent if you believe the antecedent [Read]


p.469

6894

Mental terms can be replaced in a sentence by a variable and an existential quantifier

§A

p.143

9418

All knowledge needs systematizing, and the axioms would be the laws of nature

§B

p.150

9420

Causal laws result from the simplest axioms of a complete deductive system

B 155 n

p.155

14279

Asking 'If p, will q?' when p is uncertain, then first add p hypothetically to your knowledge


p.31

6409

The 'simple theory of types' distinguishes levels among properties [Grayling]


p.259

3212

Beliefs are maps by which we steer


p.176

19724

Belief is knowledge if it is true, certain, and obtained by a reliable process
