Lectures on the Philosophy of MathematicsOpen court publishing Company, 1918 - 206 σελίδες |
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Αποτελέσματα 1 - 5 από τα 29.
Σελίδα 1
... " He may still listen with an amused smile to the curious properties of four - dimensional space , may delight in the escape from the weary wastes of infinite space in a I PL CHAPTER PAGE MEANING OF THE PHILOSOPHY OF MATHEMATICS I.
... " He may still listen with an amused smile to the curious properties of four - dimensional space , may delight in the escape from the weary wastes of infinite space in a I PL CHAPTER PAGE MEANING OF THE PHILOSOPHY OF MATHEMATICS I.
Σελίδα 2
James Byrnie Shaw. escape from the weary wastes of infinite space in a Rie- mannian finite universe , may be bewildered by the Min- kowski imaginary - time axis , may exhaust his imagination in the vain effort to draw the crinkly curves ...
James Byrnie Shaw. escape from the weary wastes of infinite space in a Rie- mannian finite universe , may be bewildered by the Min- kowski imaginary - time axis , may exhaust his imagination in the vain effort to draw the crinkly curves ...
Σελίδα 9
... infinite series , or aggregations of these . By hypernumbers is meant such characters as that which makes unity differ from the square root of negative unity , or from a qua- ternion unit , or any unit of the hypercomplex number system ...
... infinite series , or aggregations of these . By hypernumbers is meant such characters as that which makes unity differ from the square root of negative unity , or from a qua- ternion unit , or any unit of the hypercomplex number system ...
Σελίδα 10
... infinite ensemble of eternal verities whence , if there be one cosmos or many of them , each derives its character and mode of being . . . there that the spirit of mathesis has its home and life . " It is not the study simply of forms ...
... infinite ensemble of eternal verities whence , if there be one cosmos or many of them , each derives its character and mode of being . . . there that the spirit of mathesis has its home and life . " It is not the study simply of forms ...
Σελίδα 21
... infinite continued fraction . In trying to find the measure of the diagonal of a rectangle in terms of the sides the Greeks soon came across the square roots of numbers . The diagonal of a square has no integral Number and Arithmetization ...
... infinite continued fraction . In trying to find the measure of the diagonal of a rectangle in terms of the sides the Greeks soon came across the square roots of numbers . The diagonal of a square has no integral Number and Arithmetization ...
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algebraic equations Amer analysis applied arithmetic arrangements assert branch of mathematics calculus calculus of classes called century character combinations complex numbers consider consists constructions continuous continuous functions created creation deductions define definite differential equations division domain elements Encyclopédie ensemble entities Euclidean geometry example existence finite four-dimensional fraction geometry given hypercomplex hypernumbers idea ideal imaginary infinite infinity instance integers intuition invariants invention investigation irrational numbers isomorphic laws logic logistic magic squares mathe mathematician mathématiques matics method mind nature negative numbers Non-Euclidean Geometry notion objects operations Pascal's theorem philosophy philosophy of mathematics physics plane Poincaré possible postulates problems processes projective geometry properties propositional function quaternions range rational numbers reality reduce relations roots solutions space structure symbols theorems theory of equations theory of functions theory of numbers things tion transformations true truth universe variables vector