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The elementary proposition

The elementary proposition. 4.41 Der einfachste Satz, der Elementarsatz, behauptet das Bestehen eines Sachverhaltes The simplest proposition, the elementary proposition, asserts the existence of facts

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The elementary proposition

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  1. The elementary proposition • 4.41 Der einfachste Satz, der Elementarsatz, behauptet das Bestehen eines Sachverhaltes • The simplest proposition, the elementary proposition, asserts the existence of facts • What is the simplest proposition? If I say 'either Tom broke the clock or Harry did' is a complex proposition made up of two simple propositions,'Tom broke the clock' and 'Harry broke the clock'

  2. Complex • But also 'Tom broke the clock' is a complex proposition? • No, because there is not another that corresponds to the proposition. Can be expressed by other names, of course, (The clock was broken by Tom)but the fact is the same as defined. • In fact, the names in close connection (4.221 in unmittelbarer Verbindung) are the same Tom,broken,clock.

  3. Context • True, also, to break and clock can be expressed by other names, such as splitting, stopwatch, but it is clear that the fact described imperceptibly turns. The name also meant to be then take the other names because it only makes sense in the sentence, only in the context of the sentence has a name meaning (3.3 nur im Zusammenhang des Satzes hat ein Name Bedeutung) • In fact if I say 'Tom broke the clock' and 'The clock was invented in the fifteenth century' the clock changes its meaning.

  4. Notation • 4.24Die Namen sind die Einfachen Symbole, ich deute sie durch einzelne Buchstaben ( »x«, »y«, »z«).Den Elementarsatz schreibe ich als Funktion der Namen in der Form:»fx«,»φ(x.y)«, etc.Oder ich deute ihn durch die Buchstaben p,q,r an. • The names are the simple symbols, I indicate them by single letters («x», «y», «z»). The elementary proposition, I write as a function of names in the form: «fx»,«φ(xy)», etc.Or I indicate it by the letters p, q, r to.

  5. calculus • We will deal almost exclusively the last way. Even if we give some examples of the way first. Wittgenstein seems to say that the two ways are the same. But it is not so, because the last to rise to the propositional calculus, the first in the predicate calculus. • Our example: 'Either Tom broke the clock or Harry did': Tom broke the clock= p ;'Harry broke the clock' =q and the proposition 'Either Tom broke the clock or Harry did' is pvq.

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