The philosophy of computer science is concerned with the philosophical questions that arise within the study of computer science. There is still no common understanding of the content, aim, focus, or topic of the philosophy of computer science,[1] despite some attempts to develop a philosophy of computer science like the philosophy of physics or the philosophy of mathematics. Due to the abstract nature of computer programs and the technological ambitions of computer science, many of the conceptual questions of the philosophy of computer science are also comparable to the philosophy of science, philosophy of mathematics, and the philosophy of technology.[2]

## Overview

Many of the central philosophical questions of computer science are centered on the logical, ontological and epistemological issues that concern it.[3] Some of these questions may include:

## Church–Turing thesis

The Church–Turing thesis and its variations are central to the theory of computation. Since, as an informal notion, the concept of effective calculability does not have a formal definition, the thesis, although it has near-universal acceptance, cannot be formally proven. The implications of this thesis is also of philosophical concern. Philosophers have interpreted the Church–Turing thesis as having implications for the philosophy of mind.[6][7]

## P versus NP problem

The P versus NP problem is an unsolved problem in computer science and mathematics. It asks whether every problem whose solution can be verified in polynomial time (and so defined to belong to the class NP) can also be solved in polynomial time (and so defined to belong to the class P). Most computer scientists believe that PNP.[8][9] Apart from the reason that after decades of studying these problems no one has been able to find a polynomial-time algorithm for any of more than 3000 important known NP-complete problems, philosophical reasons that concern its implications may have motivated this belief.

For instance, according to Scott Aaronson, the American computer scientist then at MIT:

If P = NP, then the world would be a profoundly different place than we usually assume it to be. There would be no special value in "creative leaps", no fundamental gap between solving a problem and recognizing the solution once it's found. Everyone who could appreciate a symphony would be Mozart; everyone who could follow a step-by-step argument would be Gauss.[10]

## References

1. ^ Tedre, Matti (2014). The Science of Computing: Shaping a Discipline. Chapman Hall.
2. ^ Turner, Raymond; Angius, Nicola (2020), "The Philosophy of Computer Science", in Zalta, Edward N. (ed.), The Stanford Encyclopedia of Philosophy (Spring 2020 ed.), Metaphysics Research Lab, Stanford University, retrieved 2020-05-21
3. ^ Turner, Raymond (January 2008). "The Philosophy of Computer Science". Journal of Applied Logic. 6 (4): 459. doi:10.1016/j.jal.2008.09.006. hdl:2434/807648 – via ResearchGate.
4. ^ Copeland, B. Jack. "The Church-Turing Thesis". Stanford Encyclopedia of Philosophy.
5. ^ Hodges, Andrew. "Did Church and Turing have a thesis about machines?".
6. ^ Copeland, B. Jack (November 10, 2017). "The Church-Turing Thesis". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy.
7. ^ For a good place to encounter original papers see Chalmers, David J., ed. (2002). Philosophy of Mind: Classical and Contemporary Readings. New York: Oxford University Press. ISBN 978-0-19-514581-6. OCLC 610918145.
8. ^ William I. Gasarch (June 2002). "The P=?NP poll" (PDF). SIGACT News. 33 (2): 34–47. CiteSeerX 10.1.1.172.1005. doi:10.1145/564585.564599. S2CID 36828694. Retrieved 26 September 2018.
9. ^ Rosenberger, Jack (May 2012). "P vs. NP poll results". Communications of the ACM. 55 (5): 10.
10. ^ "Shtetl-Optimized » Blog Archive » Reasons to believe". Retrieved 2021-09-16.