Opis: A Memoir of the Theory of Mathematical Form, Vol. 1 (Classic Reprint) - Kempe Alfred Bray

Excerpt from A Memoir of the Theory of Mathematical Form, Vol. 1

1. My object in this memoir is to separate the necessary matter of exact or mathematical thought from the accidental clothing - geometrical, algebraical, logical, &c. - in which it in usually presented for consideration; and to indicate wherein consists the infinite variety which that necessary matter exhibits.

2. The memoir is confined to the exposition of fundamental principles, to their elementary developments, to their application to such a variety of cases as will vindicate their value, and to a description of some simple and uniform modes of putting the necessary matter in evidence. I have been unable to ascertain that the principles here set forth have been previously formulated.

Fundamental Principles.

3. Whatever may be the true nature of things and of the conceptions which we have of them (into which points we are not here concerned to inquire), in the operations of reasoning they are dealt with as a number of separate entities or units.

4. These units come under consideration in a variety of garbs - as material objects, intervals or periods of time, processes of thought, points, lines, statements, relationships, arrangements, algebraical expressions, operators, operations, &c., &c., occupy various positions, and are otherwise variously circumstanced. Thus, while some units are incapable of being distinguished from each other, others are by these peculiarities rendered distinguishable. For example, the angular points of a square are distinguishable from the sides, but are not distinguishable from each other. In some instances where distinctions exist they are ignored as not material. Both cases are included in the general statement that some units are distinguished from each other and some are not.

5. In like manner some pairs of units are distinguished from each other, while others are not.

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Szczegóły: A Memoir of the Theory of Mathematical Form, Vol. 1 (Classic Reprint) - Kempe Alfred Bray

Nazwa: A Memoir of the Theory of Mathematical Form, Vol. 1 (Classic Reprint)
Autor: Kempe Alfred Bray
Wydawnictwo: FB &c Ltd
Kod paskowy: 9781330183335
Języki: angielski
Ilość stron: 78
Format: 15.2x22.9cm
Oprawa: Miękka

Recenzje: A Memoir of the Theory of Mathematical Form, Vol. 1 (Classic Reprint) - Kempe Alfred Bray