David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Minds and Machines 14 (1):119-132 (2004)
It is argued that the Tractatus Project of Logical Atomism, in which the world is conceived of as the totality of independent atomic facts, can usefully be understood by conceiving of each fact as a bit in logical space. Wittgenstein himself thinks in terms of logical space. His elementary propositions, which express atomic facts, are interpreted as tuples of co-ordinates which specify the location of a bit in logical space. He says that signs for elementary propositions are arrangements of names. Here, the names are understood as numerical symbols specifying coordinates. It is argued that, using this approach, the so-called colour-exclusion problem, which was Wittgensteins reason for abandoning the Tractatus, is in fact soluble. However, if logical space is a continuum then some coordinates will need to be expressed by numerical symbols that are infinite in size. How is this to be understood in Tractatus terms? It is shown that, in the Tractatus, Wittgenstein did recognise the possibility of infinite propositions and sentences expressing them. At first sight his approach to infinite sentences, and the approach of the present paper, seem to differ, but it is argued that the difference is superficial. Finally, we address the question of whether Logical Atomism is viable and this raises issues concerning its relationship to natural science.
|Keywords||atomism information limits logic science Wittgenstein|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
No citations found.
Similar books and articles
E. D. Klemke (1971). Essays on Wittgenstein. Urbana,University of Illinois Press.
David Charles Mccarty (1991). The Philosophy of Logical Wholism. Synthese 87 (1):51 - 123.
Cora Diamond (2005). Logical Syntax in Wittgenstein's Tractatus. Philosophical Quarterly 55 (218):78 - 89.
By Cora Diamond (2005). Logical Syntax in Wittgenstein's Tractatus. Philosophical Quarterly 55 (218):78–89.
Paul D. Wienpahl (1964). Wittgenstein and the Naming Relation. Inquiry 7 (1-4):329 – 347.
Anthony Palmer (2011). Propositions, Properties and Relations: Wittgenstein's “Notes on Logic” and the Tractatus. Philosophical Investigations 34 (1):77-93.
Christopher Campbell (2014). Categorial Indeterminacy, Generality and Logical Form in Wittgenstein's Tractatus. European Journal of Philosophy 22 (1):138-158.
Rod Bertolet (1991). Elementary Prepositions, Independence, and Pictures. Journal of Philosophical Research 16:53-61.
José L. Zalabardo (2010). The Tractatus on Logical Consequence. European Journal of Philosophy 18 (3):425-442.
Ian Proops (2004). Wittgenstein's Logical Atomism. Stanford Encyclopaedia of Philosophy.
Added to index2009-01-28
Total downloads28 ( #59,918 of 1,096,734 )
Recent downloads (6 months)1 ( #273,068 of 1,096,734 )
How can I increase my downloads?