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form

In the philosophy of Plato and Aristotle the active, determining principle of a thing. The term was traditionally used to translate Plato's eidos, by which he meant the permanent reality that makes a thing what it is, in contrast to the particulars that are finite and subject to change. Each form is the pattern of a particular category of thing in the world; thus, there are forms of human, stone, shape, colour, beauty, and justice. Whereas the physical world, perceived with the senses, is in constant flux and knowledge derived from it restricted and variable, the realm of forms, apprehensible only by the mind, is eternal and changeless. Particular things derive what reality they have by “participating” in, or imperfectly copying, the forms. Aristotle rejected the abstract Platonic notion of form and argued that every sensible object consists of both matter and form, neither of which can exist without the other. For Aristotle, the matter of a thing consists of those of its elements which, when the thing has come into being, may be said to have “become” it; the form of a thing is the arrangement or organization through which such elements have become the thing in question. Thus a certain lump of bronze is the matter that, given a certain form, becomes a statue or, given another, becomes a sword. The Aristotelian concept of form was adapted and developed by St. Thomas Aquinas and other scholastic philosophers. The Enlightenment philosopher Immanuel Kant used the notion of form to describe the mentally imposed conditions of sensible experience, namely space and time.

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(1) A paper form used for printing.

(2) A formatted screen display designed for a particular application. See forms software.

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(mathematics, tool)

FORM - A system written by Jos Vermaseren <t68@nikhefh.nikhef.nl> in 1989 for fast handling of very large-scale symbolic mathematics problems. FORM is a descendant of Schoonschip and is available for many personal computers and workstations. ftp://acm.princeton.edu/, ftp://nikhefh.nikhef.nl/. Mailing list: <form@can.nl>.