Were logical positivists, Platonist, why or why not?
So, I am having a fit over logic and mathematics.
Anyway, were logical positivists in their assertion of simples and atomic facts implicitly referencing Plato? It would seem that there can be an infinite of state of affairs in logic; but, mathematics imposes constraints on logic or is it the other way around?
Anyway, were logical positivists in their assertion of simples and atomic facts implicitly referencing Plato? It would seem that there can be an infinite of state of affairs in logic; but, mathematics imposes constraints on logic or is it the other way around?
Comments (6)
Ayer's book was to be brought undone by the fact that it fell victim to its own criteria - because nothing in the book was really verifiable in terms of some 'state of affairs'. What 'state of affairs' could prevail, that showed that nothing other than 'states of affairs' could ever be spoken about?
This was one of the lessons I was taught by my lecturer, David Stove, who said that positivism, in its criticism on most of what was thought to be 'philosophy' was very much like the mythical uroborous, the snake that consumes itself:
'The hardest part' he would say, 'is the last bite'. :-)
Platonism is often understood as realist view of abstract objects in contemporary sense. Rudolf Carnap defends the realist view of abstract objects in his Empiricism, Semantics, and Ontology.
On what grounds does he do this without evoking metaphysics? Did anyone ever get around to doing that? I know Russel and Whitehead tried really hard, yet Godel disproved them in one blow, well actually two blows.
If anyone ever follows my threads I believe the only way to prove or disprove this is via confirming that reality can be simulated to a certain degree in a sufficiently complex computing machine. The Church-Turing-Deutsch Principle provides a very elegant view on supporting this in that if something within a set contains the elements of the set then that set can be replicated in a smaller degree within that set itself. However, we don't know if there is a larger set than the set we occupy, and there really doesn't seem to be any way of knowing that for sure; but, then the fact that the same set can be replicated within the same set but to a smaller degree would seemingly point that it's possible.
Quoting Question
quine's claim here is misleading. Carnap didn't accept realist ontology but realist language. As explained here:
Yeah, he said lots of stuff, but he also denied really knowing anything. The point of most of his discussions wasn't to prove anything positively right, but rather, to inspire doubt and wonder. To make you second guess what you believe, being offered an alternative of equal (or even greater) plausibility. He liked to approach people that figured that they were experts, or knew what was what, and then leave them a whole lot less certain of that.
His introduction of the conscience within himself, and his paralleling, or embodying it in the form of the gadfly, rousting the proud and strong steed (Athens) from complacency and sloppiness, rather than taking for granted its truth, and righteousness.
Socrates always seemed as a fable to me. A story about not taking things at face value, or at appearance, and the utility, and importance of a healthy level of doubt, and wonder. Never want to be too convinced of anything...