CARDINAL AND ORDINAL NUMBERS SIERPINSKI PDF

Cardinal and Ordinal Numbers. Front Cover. Wacław Sierpiński. PWN – Polish Scientific Publishers, – Cardinal numbers – pages. Get this from a library! Cardinal and ordinal numbers.. [Waclaw Sierpinski]. Cardinal and Ordinal Numbers [Waclaw Sierpinski] on *FREE* shipping on qualifying offers.

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Cardinal and Ordinal Numbers

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Common terms and phrases 1-st kind 2-nd class 2-nd kind aleph arbitrary assumption axiom of choice cardinal continuum hypothesis Corollary correspondence denote a given denote the set denumerable set disjoint sets easy to prove effectively denumerable equivalent establishes a Exercise exists an element exists an ordinal family F finite number finite sets formula Give an example Hence implies inequality infinite sequence infinite set last element left-hand divisor Let us denote magnitude orinal number non-denumerable non-empty sets normal expansion number f number n numbers ordered according obtain obviously order types ordered set positive ordinal numbers prime component cardinsl factor proof of Theorem prove Theorem rational numbers real numbers right-hand divisors segment sequence of type set A q set of power set of type Sierpinski similar Tarski tion transfinite induction transfinite ordinal number transfinite sequence virtue of Theorem well-ordered set whence it follows.

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