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The logicist manifesto: At long last let logic-based artificial intelligence become a field unto itself
2008
Journal of Applied Logic
This paper is a sustained argument for the view that logic-based AI should become a self-contained field, entirely divorced from paradigms that are currently still included under the AI "umbrella"-paradigms ...
The paper includes a self-contained summary of logic-based AI, as well as rebuttals to a number of objections that will inevitably be brought against the declaration of independence herein expressed. ...
In short, the idea is that the best bet for reaching AI's ultimate goal of building an artificial person is to establish logic-based AI as a field unto itself. 30 Of course, it nonetheless remains true ...
doi:10.1016/j.jal.2008.09.001
fatcat:ifonuea7zfgube4nmlrenbbugi
Axiomatic Method and Category Theory
[article]
2012
arXiv
pre-print
The new notion of Axiomatic Method that emerges in Categorical logic opens new possibilities for using this method in physics and other natural sciences. ...
Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of heigher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hibert-style Axiomatic ...
As long as an appropriate theory of space and quantity is built into a system of logic this system of logic can be described as "logic of space and quantity" and at the same time apply in any serious field ...
arXiv:1210.1478v1
fatcat:iz72tr2f2jcjdikdpg5flh6hli