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Propositions and Arguments - Princeton University

Copyrighted Material 1 Propositions and Arguments What Is Logic? Somebody who wants to do a good job of measuring up a room for purposes of cutting and laying carpet needs to know some basic mathematics but mathe matics is not the science of room measuring or carpet cutting. In mathematics one talks about angles, lengths, areas, and so on, and one discusses the laws governing them: if this length is smaller than that one, then that angle must be bigger than this one, and so on. Walls and carpets are things that have lengths and areas, so knowing the general laws governing the latter is helpful when it comes to specific tasks such as cutting a roll of carpet in such a way as to min imize the number of cuts and amount of waste.

like “true” for logic. All sciences have truth as their goal; but logic is also concerned with it in a quite different way: logic has much the same relation to truth as physics has to weight or heat. To discover truths is the task of all sciences; it falls to logic to …

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