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The so-called Infinite Exchange Paradox refers to the idea that we use the thought of actual infinity-----that is, the idea that the infinite process can be accomplished, and we can transform the two equivalent infinities (with one-to-one correspondence) into mutually nonequivalent infinities. This profoundly exposes the inherent defects of the actual ...


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To sum up, we comprehensively introduce Hegel's dialectical infinity, and also introduce Engels's critical inheritance and development of Hegel's infinite view, it also introduces the differences between the four kinds of infinite views, and analyzes the errors of actual infinity; so now we can naturally sum up the infinite view of dialectical materialism: ...


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Infinity exists and cannot be traversed, completed; infinity is a black hole, but it can be sublimated and transcended. Process (bad infinity) forever, law (real infinity) eternal; process is a variable, law is a constant; Infinity cannot be crossed, but can be transcended, the result of transcendence is a real infinity. The existence of infinity and the ...


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It is well known that the problem of finity and infinity is the basic problem of mathematics, and it is also the basic problem of Philosophy. The mathematical foundation has experienced three big crises, from the birth of the irrational number, and the rationality of the calculus has been seriously questioned (Hegel, Marx has given a dialectical scientific ...


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