the original logicist
and phenomenalist projects in analytic philosophy
Even the apparently so ruthlessly neo-positivist logicist
Wittgenstein found himself compelled to hint at a mysterious 'silence' in the final statement of his Tractatus Logico-Philosophicus.
Relevantly, the impossibility of science to reach systemic completeness demonstrated by Kurt Godel in symbolic logic in 1931 put to rest indeed almost a century of logicist
and formalist attempts to find axioms on which to rigorously ground all mathematics: Hilbert's program, and the attempts of Alfred North Whitehead and Bertrand Russell in their famous Principia Mathematica (1910, 1912, 1913) are of paramount importance in this regard.
project is, arguably, also the result of his not having
Frege's conceptual notation was invented for the purpose of proving his logicist
In spite of this, we see a return to almost 'logicist
' tendencies within later medieval thinkers such as John Duns Scotus and William of Ockham, as discussed in the essays of Simo Knuuttila (Chapter 3, 'The Metaphysics of the Categories in John Duns Scotus') and Calvin G.
* antihipernormativism logicist
si relansarea virtutilor awonorniativitatii in cunoastere, in baza incriminarii pretentiilor de universalizare a exigentelor normati-viste ale stiintelor tari;
other giants, such as logicist
Russell, are content to do without when he states that he like[s] mathematics because it is not human and has nothing particular to do with this planet or with the whole accidental universe--because, like Spinoza's God, it won't love us in return.
With `decisive clarity', the logicist
hero of philosophy says: `The essence of science consists in the unity of foundations, systematic unity, in which not only particular knowledge but the foundations themselves, and along with them the higher complexes of foundations, called "theory", are assembled.' It does not matter how far Husserl went afterwards, from the initial logicism of his own point of view.
According to Frege's logicist
thesis, every arithmetical concept can be defined in purely logical terms, and every theorem of arithmetic can be proved using only the basic laws of logic.