Yquotes.com

 

As the mathematics are now understood, each branch — or, if you please, each problem, — is but the study of the relations of a collection of connected objects, without parts, without any distinctive characters, except their names or designating letters. These objects are commonly called points; but to remove all notion of space relations, it may be better to name them monads. The relations between these points are mere complications of two different kinds of elementary relations, which may be termed immediate connection and immediate non-connection. All the monads except as serve as intermediaries for the connections have distinctive designations.
--
p. 268

 

Charles Sanders Peirce

» Charles Sanders Peirce - all quotes »

Similar quotes

 

An internal combustion engine is 'clearly' a system ; we subscribe to this opinion because we know that the engine was designed precisely to be a system. It is, however, possible to envisage that someone (a Martian perhaps) totally devoid of engineering knowledge might at first regard the engine as a random collection of objects. If this someone is to draw the conclusion that the collection is coherent, forming a system, it will be necessary to begin by inspecting the relationships of the entities comprising the collection to each other. In declaring that a collection ought to be called a system, that is to say, we acknowledge relatedness. But everything is related to everything else. The philosopher Hegel enunciated a proposition called the Axiom of Internal Relations. This states that the relations by which terms are related are an integral part of the terms they relate. So the notion we have of any thing is enriched by the general connotation of the term which names it; and this connotation describes the relationship of the thing to other things... [There are three stages in the recognition of a system]... we acknowledge particular relationships which are obtrusive: this turns a mere collection into something that may be called an assemblage. Secondly, we detect a pattern in the set of relationships concerned: this turns an assemblage into a systematically arranged assemblage. Thirdly, we perceive a purpose served by this arrangement: and there is a system.

 

Anthony Stafford Beer

 

All relations are either qualitative or quantitative. Qualitative relations can be considered by themselves without regard to quantity. The algebra of such enquiries may be called logical algebra, of which a fine example is given by Boole.
Quantitative relations may also be considered by themselves without regard to quality. They belong to arithmetic, and the corresponding algebra is the common or arithmetical algebra.
In all other algebras both relations must be combined, and the algebra must conform to the character of the relations.

 

Benjamin Peirce

 

It seems reasonable to suppose that conflict does exhibit many general patterns, that the patterns of conflict in industrial relations, international relations, interpersonal relations, and even animal life are not wholly different from one another, and that it is, therefore, worth looking for the common element. On the other hand, we should be surprised if there were no differences; the pattern of conflict in international relations, for instance, is not the same as in industrial or interpersonal relations. Just as it is important to perceive the similarities in different situations, so it is important to perceive the differences. These differences cannot be perceived, however, without a general theory to serve as a standard of comparison.

 

Kenneth Boulding

 

To perceive is to construct intellectually, and if the child draws things as he conceives them, it is certainly because he cannot perceive them without conceiving them. But to give up gradually the spurious absolutes situated away and apart from the context of relations that has been built up during experience itself is the work of a superior kind of rationality. When the child comes to draw things as he sees them, it will be precisely because he has given up taking isolated objects in and for themselves and has begun to construct real systems of relations which take account of the true perspective in which things are connected.

 

Jean Piaget

 

The move from a structuralist account in which capital is understood to structure social relations in relatively homologous ways to a view of hegemony in which power relations are subject to repetition, convergence, and rearticulation brought the question of temporality into the thinking of structure, and marked a shift from a form of Althusserian theory that takes structural totalities as theoretical objects to one in which the insights into the contingent possibility of structure inaugurate a renewed conception of hegemony as bound up with the contingent sites and strategies of the rearticulation of power.

 

Judith Butler