The Monist, Volumen25Paul Carus Open Court, 1915 Vols. 2 and 5 include appendices. |
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... Mathematics and Their Significance for Mathematical Physics , 140 ; Mathematicians and Philosophers , 633 . Kant's Antinomies and Their Solution . By Paul Carus 627 Landis , Edward H. and Robert P. Richardson . Numbers , Variables and ...
... Mathematics and Their Significance for Mathematical Physics , 140 ; Mathematicians and Philosophers , 633 . Kant's Antinomies and Their Solution . By Paul Carus 627 Landis , Edward H. and Robert P. Richardson . Numbers , Variables and ...
Página 140
... MATHEMATICAL PHYSICS . As a consequence of the work of Georg Cantor and Bertrand Russell , it has long been recognized ... mathematics - analysis , geom- etry , mathematical physics - are built . The " real " numbers of analysis form a ...
... MATHEMATICAL PHYSICS . As a consequence of the work of Georg Cantor and Bertrand Russell , it has long been recognized ... mathematics - analysis , geom- etry , mathematical physics - are built . The " real " numbers of analysis form a ...
Página 141
... mathematics . But the aspect of things is changed when we proceed to the analogous , but far more general , theory of simply ordered aggregates in general . Here , as I showed in a paper published in 1910 , the Heine - Borel process has ...
... mathematics . But the aspect of things is changed when we proceed to the analogous , but far more general , theory of simply ordered aggregates in general . Here , as I showed in a paper published in 1910 , the Heine - Borel process has ...
Página 143
Paul Carus. when we come to consider our treatment of space and time in mathematical physics . But before we go any ... mathematicians did not see that it was un- proved until Zermelo pointed this out in 1904 , and Schoenflies , in the ...
Paul Carus. when we come to consider our treatment of space and time in mathematical physics . But before we go any ... mathematicians did not see that it was un- proved until Zermelo pointed this out in 1904 , and Schoenflies , in the ...
Página 144
... mathematicians speak of an “ arithmetical space , " in analytical mechanics we necessarily have to do with an ... mathematical analysis to the ordinal theory of functions , namely , that whereas in ordinary analysis - owing to the fact ...
... mathematicians speak of an “ arithmetical space , " in analytical mechanics we necessarily have to do with an ... mathematical analysis to the ordinal theory of functions , namely , that whereas in ordinary analysis - owing to the fact ...
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Página 429 - ... it seems probable to me that God in the beginning formed matter in solid, massy, hard, impenetrable, movable particles, of such sizes and figures, and with such other properties and in such proportion to space as most conduced to the end for "which He formed them ; and that these primitive particles, being solids, are incomparably harder than any porous bodies compounded of them, even so very hard as never to wear or break in pieces — no ordinary power being able to divide what God himself...
Página 198 - For Christ also hath once suffered for sins, the just for the unjust, that he might bring us to God, being put to death in the flesh, but quickened by the Spirit...
Página 185 - Why do John's disciples and the disciples of the Pharisees fast, but thy disciples fast not?
Página 250 - Hitherto we have explained the phenomena of the heavens and of our sea by the power of gravity, but have not yet assigned the cause of this power. This is certain, that it must proceed from a cause that penetrates to the very centres of the sun and planets, without suffering the least diminution of its force; that operates not according to the quantity of the surfaces of the particles upon which it acts (as mechanical causes...
Página 426 - Are not the Rays of Light very small Bodies emitted from shining Substances? For such Bodies will pass through uniform Mediums in right Lines without bending into the Shadow, which is the Nature of the Rays of Light...
Página 37 - I am thane of Cawdor: If good, why do I yield to that suggestion Whose horrid image doth unfix my hair And make my seated heart knock at my ribs, Against the use of nature?
Página 428 - All these things being considered, it seems probable to me that God in the beginning formed matter in solid, massy, hard, impenetrable, movable particles, of such sizes and figures, and with such other properties and in such proportion to space as most conduced to the end for which he formed them...
Página 430 - But to derive two or three general Principles of Motion from Phenomena, and afterwards to tell us how the Properties and Actions of all corporeal Things follow from those manifest Principles, would be a very great step in Philosophy, though the Causes of those Principles were not yet discover'd: And therefore I scruple not to propose the Principles of Motion above-mention'd, they being of very general Extent, and leave their Causes to be found out.
Página 198 - Spirit, by which also he went and preached unto the spirits in prison which sometime were disobedient, when once the longsuffering of God waited in the days of Noah, while the ark was a preparing, wherein few, that is, eight souls were saved by water.
Página 635 - Imagination, fancy, and invention, they are wholly strangers to, nor have any words in their language by which those ideas can be expressed ; the whole compass of their thoughts and mind being shut up within the two forementioned sciences. Most of them, and especially those who deal in the astronomical part, have great faith in judicial astrology, although they are ashamed to own it publicly.