seeking the path

p. 244/4-7

p. 246/4-6 p. 285/29-33

p. 287/2-3 p. 287/37-39 p. 401/2-8

572

upon inductive verification. And if this is so, mathematics is neither deductive nor demonstrative. I rather fancy that the contradictory statements on pages 192 and 193 are due to a wish to avoid this conclusion. (From p. 415 it is clear that mathematical propositions—e.g. 2 + 2 = 4—cannot be asserted as true in the same way as propositions about matters of fact (e.g. ‘all crows are black’). The Principle of Deduction does not therefore apply to mathematics: this seems to be as good as admitted at the top of p. 489, and footnote 1.) [We do in fact apprehend general principles in this way … To describe this method of discovering axioms as inductive inference involves an extension of the word “inductive” as ordinarily used, but no doubt this extension is desirable.]: This is mathematical or true induction, which is not inferential. [In order that a proposition should be scientific it must relate to something other than the immediate experience of an individual.] noted [there seems not the slightest justification for the view that, for example, the causal law Sugar dissolves in water must hold in all possible worlds, in the sense in which ‘must’ means ‘could not be otherwise’.]: If it did not hold, could we still speak of sugar and water? It must hold in every world where there is sugar and water. The question is: will this still be sugar in all possible worlds? [the property being on this table is an external relational property of this book.]: It is not a property of this book. It is a property of the situation book-on-a-table. [This is equivalent to the assertion that every property of A is an internal property. There is no reason to suppose that this assertion is true.]: On the contrary. [Professor Whitehead goes so far as to say that ‘the incredible labours of the scientist would be without hope’ were it not for ‘the inexpungable belief that every detailed occurrence can be correlated with its antecedents in a perfectly definite manner exemplifying general principles’. This is perhaps an overstatement. The scientist is quite ready to leave out of account a number of details which do not fit into his scheme.]: Whitehead is justified: the scientist does

Early Writings (Seeking the Path - Ñāṇavīra Thera)
Early Writings (Seeking the Path - Ñāṇavīra Thera)

Part B includes two early essays (Nibbana and Anatta and Sketch for a Proof of Rebirth) as well as notes from a Commonplace Book and Margina...