Walks in the Regions of Science And Faith: a Series of Essays
Walks in the Regions of Science And Faith: a Series of Essays
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LAW, PHYSICAL AND MORAL. 15s divisible by 9, the sum of whose digits is so divisible: it is a law that the difference between the square of two numbers is divisible by either their sum or their difference. Hundreds of other theorems, simple and complicate4, might be quoted, which may all be re- garded as laws of numbers.
All laws of space and number, however, are ob- jective laws, and nothing else. You may make one theorem depend upon another, and so reduce the most complex to something which i...s axiomatic ; but you come ultimately to axiom, not to volition ; to something which must be because it cannot be other- wise, not to something which is because a will has ordained that so it shall be. Whenever you can re- duce a law to axiom you get rid of volition ; in space and number, for example, there is no volition ; in physics there are, as I believe, some laws of one kind and some of another.
What is triie of space and number is of course true in all departments of pure mathematics. Thus, to take the case of Taylor's theorem.
What to read after Walks in the Regions of Science And Faith: a Series of Essays?
You can find similar books in the "Read Also" column, or choose other free books by Harvey Goodwin to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
LAW, PHYSICAL AND MORAL. 15s divisible by 9, the sum of whose digits is so divisible: it is a law that the difference between the square of two numbers is divisible by either their sum or their difference. Hundreds of other theorems, simple and complicate4, might be quoted, which may all be re- garded as laws of numbers.
All laws of space and number, however, are ob- jective laws, and nothing else. You may make one theorem depend upon another, and so reduce the most complex to something which i...s axiomatic ; but you come ultimately to axiom, not to volition ; to something which must be because it cannot be other- wise, not to something which is because a will has ordained that so it shall be. Whenever you can re- duce a law to axiom you get rid of volition ; in space and number, for example, there is no volition ; in physics there are, as I believe, some laws of one kind and some of another.
What is triie of space and number is of course true in all departments of pure mathematics. Thus, to take the case of Taylor's theorem.
What to read after Walks in the Regions of Science And Faith: a Series of Essays?
You can find similar books in the "Read Also" column, or choose other free books by Harvey Goodwin to read onlineMoreLess
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