Full Text

logical space


Subject Philosophy

People Wittgenstein, Ludwig

DOI: 10.1111/b.9780631185376.1996.x


Extract

( logischer Rarm ) The term originates in Boltzmann's generalized thermodynamics, which treats the independent properties of a physical system as defining separate coordinates in a multidimensional system the points of which constitute the ‘ensemble of possible states’. The Tractatus does not define the term ‘logical space’, but clearly it there refers to the ensemble of logical possibilities. Logical space stands to ‘reality’, the existence and non-existence of states of affairs (TLP 2.05), as the potential to the actual. The term conveys the idea that logical possibilities form a ‘logical scaffolding’ (TLP 3.42), a systematic manifold akin to a coordinate system. The world is the ‘facts in logical space’ (TLP 1.13), since the contingent existence of states of affairs is embedded in an a priori order of possibilities. There are several dimensions to the analogy between space and the ensemble of logical possibilities. (a) A ‘place’ ( Ort ) in logical space is determined by a ‘proposition’ (TLP 3.4–3.42), which here means an elementary proposition. It is a possible state of affairs, which corresponds to the two ‘truth-possibilities’ of an elementary proposition – being true or being false (TLP 4.3ff.). For n propositions there are 2” truth-possibilities, that is, possible combinations of truth-values. If there are only two elementary propositions, p , q , then there are four ... log in or subscribe to read full text

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