Number And Its Algebra. Syllabus of Lectures On the Theory of Number And Its Algebra Introductory to a Collegiate Course in Algebra
Number And Its Algebra. Syllabus of Lectures On the Theory of Number And Its Algebra Introductory to a Collegiate Course in Algebra
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For example, numbers, as we have seen, are not concrete things ; and as soon as we forget that they are the products of rational processes, we at once fall into error and confusion. Such confusion is most prominent in concepts of zero and infinity. A vague concreting of infinity is often observable, even among those who do not make a like mistake with any other number. Because In- finity as a concrete is inconceivable, the number infinity is commonly spoken of as inconceivable, and a prevalent ...opinion regards finite numbers as the only ones we can.
reason about. Charles S. Pierce, eminent as logician and mathematician (and mastery of both sciences is requisite to authority in either), says, " I long ago showed that finite collections are distinguished from infinite ones onlj- by one circumstance and its consequences ; namely, that to tliem (the finite) is applicable a peculiar and unusual mode of reasoning called by its discoverer, DeJNlorgan, the 'syllo- INFINITY. 135 gism of transposed quantity.' .
What to read after Number And Its Algebra. Syllabus of Lectures On the Theory of Number And Its Algebra Introductory to a Collegiate Course in Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Lefevre to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For example, numbers, as we have seen, are not concrete things ; and as soon as we forget that they are the products of rational processes, we at once fall into error and confusion. Such confusion is most prominent in concepts of zero and infinity. A vague concreting of infinity is often observable, even among those who do not make a like mistake with any other number. Because In- finity as a concrete is inconceivable, the number infinity is commonly spoken of as inconceivable, and a prevalent ...opinion regards finite numbers as the only ones we can.
reason about. Charles S. Pierce, eminent as logician and mathematician (and mastery of both sciences is requisite to authority in either), says, " I long ago showed that finite collections are distinguished from infinite ones onlj- by one circumstance and its consequences ; namely, that to tliem (the finite) is applicable a peculiar and unusual mode of reasoning called by its discoverer, DeJNlorgan, the 'syllo- INFINITY. 135 gism of transposed quantity.' .
What to read after Number And Its Algebra. Syllabus of Lectures On the Theory of Number And Its Algebra Introductory to a Collegiate Course in Algebra?
You can find similar books in the "Read Also" column, or choose other free books by Arthur Lefevre to read onlineMoreLess
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