Combining Texts

All the ideas for 'fragments/reports', 'Philosophical Implications of Mathematical logic' and 'Truth and Probability'

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6 ideas

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic
Logic is highly general truths abstracted from reality [Russell, by Glock]
     Full Idea: In 1911 Russell held that the propositions of logic are supremely general truths about the most pervasive traits of reality, to which we have access by abstraction from non-logical propositions.
     From: report of Bertrand Russell (Philosophical Implications of Mathematical logic [1911]) by Hans-Johann Glock - What is Analytic Philosophy? 2.4
     A reaction: Glock says the rival views were Mill's inductions, psychologism, and Frege's platonism. Wittgenstein converted Russell to a fifth view, that logic is empty tautologies. I remain resolutely attached to Russell's abstraction view.
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]
     Full Idea: Ramsey suggested that 'if', 'given that' and 'on the supposition that' come to the same thing, and that the degrees of belief in the antecedent should then conform to probability theory.
     From: report of Frank P. Ramsey (Truth and Probability [1926]) by Frank P. Ramsey - Law and Causality B
     A reaction: [compressed]
14. Science / C. Induction / 6. Bayes's Theorem
Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]
     Full Idea: Ramsey gave an axiomatic treatment of preference in the face of uncertainty, when applied to a particular agent.
     From: report of Frank P. Ramsey (Truth and Probability [1926]) by Donald Davidson - Truth and Predication 2
     A reaction: This is evidently the beginnings of Bayesian decision theory.
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
It is good to generalise truths as much as possible [Russell]
     Full Idea: It is a good thing to generalise any truth as much as possible.
     From: Bertrand Russell (Philosophical Implications of Mathematical logic [1911], p.289)
     A reaction: An interesting claim, which seems to have a similar status to Ockham's Razor. Its best justification is pragmatic, and concerns strategies for coping with a big messy world. Russell's defence is in 'as much as possible'.
25. Social Practice / E. Policies / 5. Education / b. Education principles
Learned men gain more in one day than others do in a lifetime [Posidonius]
     Full Idea: In a single day there lies open to men of learning more than there ever does to the unenlightened in the longest of lifetimes.
     From: Posidonius (fragments/reports [c.95 BCE]), quoted by Seneca the Younger - Letters from a Stoic 078
     A reaction: These remarks endorsing the infinite superiority of the educated to the uneducated seem to have been popular in late antiquity. It tends to be the religions which discourage great learning, especially in their emphasis on a single book.
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]
     Full Idea: Posidonius defined time thus: it is an interval of motion, or the measure of speed and slowness.
     From: report of Posidonius (fragments/reports [c.95 BCE]) by John Stobaeus - Anthology 1.08.42
     A reaction: Hm. Can we define motion or speed without alluding to time? Looks like we have to define them as a conjoined pair, which means we cannot fully understand either of them.