Combining Texts
Ideas for
'The Science of Knowing (Wissenschaftslehre) [1st ed]', 'Causation' and 'Introduction to Mathematical Philosophy'
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9 ideas
6. Mathematics / A. Nature of Mathematics / 2. Geometry
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14442
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If straight lines were like ratios they might intersect at a 'gap', and have no point in common [Russell]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
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14438
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New numbers solve problems: negatives for subtraction, fractions for division, complex for equations [Russell]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
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13510
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Could a number just be something which occurs in a progression? [Russell, by Hart,WD]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
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14436
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A series can be 'Cut' in two, where the lower class has no maximum, the upper no minimum [Russell]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / j. Complex numbers
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14439
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A complex number is simply an ordered couple of real numbers [Russell]
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6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
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14421
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Discovering that 1 is a number was difficult [Russell]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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14424
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Numbers are needed for counting, so they need a meaning, and not just formal properties [Russell]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
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14441
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The formal laws of arithmetic are the Commutative, the Associative and the Distributive [Russell]
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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
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14420
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Infinity and continuity used to be philosophy, but are now mathematics [Russell]
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