Abstract
The concepts of syntax and semantics have nowadays become commonplace, both in logic and linguistics; moreover, they seem to belong to the cornerstones of their foundations. Yet the two concepts are far from transparent. It is not only that the terms syntax and semantics are used in different ways within logic and within linguistics; even within each of the two enterprises they tend to be ambiguous. At the same time it turned out that a meticulous specification of both of the concepts may be extremely useful: in logic, an advance in their clarification underlay the breakthrough effected by Gödel, while in linguistics it may help us disentangle the discussions about the nature of semantic theories, as they come to the fore for example in the discussions between Chomskyans and their opponents. Intuitively, we may hold that the contrast between syntax and semantics is clear enough (perhaps just a version of the age-old distinction between form and content?), but this intuition is treacherous. In this paper I try to show that the analyses of the concepts as carried out by Carnap and others revealed their unexpected complexities, and that such analyses may help us map the intricacy of this conceptual entanglement. Also I try to show that getting clear on this is not only needed for strengthening the foundations of logic and linguistics, but also for throwing new light on some widely discussed philosophical problems, such as the discussions about computers having “syntax, but no semantics” initiated by Searle.
Work on this paper was supported by the grant No. 20-18675S of the Czech Science Foundation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
Of course, they all have the trivial property «to be simple, not to be composed of anything».
- 3.
Remember that the classification of a property as syntactic depends on what we take the system in question to be. If, for example, we took the list as a part of a more exclusive system containing also all the letters of the English alphabet, then the items would have a lot of properties that would be syntactic.
- 4.
It is this obliqueness that Quine (1940), §6, proposed to dispose of by means of his concept of quasiquotation: according to him, we should write ┌S∧S′┐, which “amounts to quoting the constant contextual backgrounds and imagining the unspecified expressions written in the blanks”. In our case “the constant contextual background” would be “∧” and “the unspecified expressions” would be S and S′.
- 5.
- 6.
Cf. Peregrin (2018).
- 7.
Cf. Peregrin (2020a).
- 8.
We have seen that if we have a finite set of items formally distinct from each other, then the set itself is formally characterizable (such a characterization can be produced as the disjunction of the distinctive properties of the individual items); hence for every property of elements of a finite domain there is a formal property that is co-extensional with it. Thus, any finite set of sentences can be delimited syntactically.
- 9.
It is not without interest that one of the original senses of finitism concerned the finiteness of the universe, for its proponents took for granted that any usable language cannot but have such kind of limited universe (Frost-Arnold 2013).
- 10.
Unless, of course, we accept the “generalized” transformation rules of Carnap, which may render syntax in fact equivalent to semantics.
- 11.
- 12.
See Francez (2015).
- 13.
As Button and Walsh (2018) put it: “model theory seems to be providing us with a perfectly precise, formal way to understand certain aspects of linguistic representation.”
- 14.
See Peregrin (1995).
- 15.
See, for example Bozşahin (2018).
- 16.
See Peregrin (2010) for an analysis of the relationship between inference and truth-based meaning.
- 17.
Cf. also Rapaport (2000).
- 18.
It is not the purpose of the present paper to argue for an inferentialism, the view that meaning is an inferential role (see Peregrin (2014)). The point is merely that its rejection is not something that can be taken for granted.
References
Bozşahin, Cem. 2018. Computers aren’t syntax all the way down or content all the way up. Minds and Machines 28: 543–567.
Button, Tim, and Sean Walsh. 2018. Philosophy and model theory. Oxford: Oxford University Press.
Carnap, Rudolf. 1932. Erwiderung auf die vorstehenden Aufsätze von E. Zilsel und K. Duncker. Erkenntnis 3: 177–188.
———. 1934. Logische Syntax der Sprache. Vienna: Springer. Quoted from the English translation he logical syntax of language, London: Routledge, 2000.
———. 1939. Foundation of logic and mathematics (International Encyclopedia of Unified Sciences 1). Chicago: Chicago University Press.
———. 1942. Introduction to semantics. Cambridge, MA: Harvard University Press.
———. 2000. Untersuchungen zur allgemeinen Axiomatik. Darmstadt: Wissenschaftliche Buchgesellschaft; written cca 1929.
Chomsky, Noam. 1957. Syntactic structures. The Hague: Mouton.
———. 1965. Aspects of the theory of syntax. Cambridge, MA: MIT Press.
———. 1986. Knowledge of language. Westport: Praeger.
Coffa, Alberto. 1991. The semantic tradition from Kant to Carnap. Cambridge: Cambridge University Press.
Finsler, Paul. 1926. Formale Beweise und die Entscheidbarkeit. Mathematische Zeitschrift 25: 676–682; Quoted from English translation Formal proofs and undecidability in van Heijenoort (1967), 438–445.
Francez, Nissim. 2015. Proof-theoretic semantics. London: College Publications.
Frost-Arnold, Greg. 2013. Carnap, Tarski, and Quine at Harvard: Conversations on logic, mathematics, and science. La Sale: Open Court.
Gödel, Kurt. 1930. Die Vollständigkeit der Axiome des logischen Funktionenkalküls. Monatshefte Für Mathematik Und Physik 37: 349–360.
———. 1931. Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I. Monatshefte Für Mathematik Und Physik 38: 173–198.
Graffi, Giorgio. 2001. 200 years of syntax: A critical survey. Amsterdam: Benjamins.
Heijenoort, Jean. van, ed. 1967. From Frege to Gödel: A source book from mathematical logic. Cambridge, MA: Harvard University Press.
Montague, Richard. 1974. Formal philosophy: Selected papers of R. Montague. New Haven: Yale University Press.
Peregrin, Jaroslav. 1995. Doing worlds with words. Dordrecht: Kluwer.
———. 2010. Inferentializing semantics. Journal of Philosophical Logic 39: 255–274.
———. 2011. The use-theory of meaning and the rules of our language games. In Making semantics pragmatic, ed. K. Turner, 183–204. Bingley: Emerald.
———. 2014. Inferentialism: Why rules matter. Basingstoke: Palgrave.
———. 2018. Intensionality in mathematics. In Truth, existence and explanation, ed. Mario Piazza and Gabriele Pulcini, 57–70. Cham: Springer.
———. 2020a. Carnap’s inferentialism. In Vienna Circle in Czechoslovakia, ed. R. Schuster, 97–109, Dordrecht: Springer.
———. 2020b. Philosophy of Logical Systems. New York: Routledge.
Quine, Willard van Orman. 1940. Mathematical logic. Cambridge, MA: Harvard University Press.
Rapaport, William. 2000. How to pass a Turing test. Journal of Logic, Language, and Information 9: 467–490.
Searle, John. 1980. Minds, brains & programs. Behavioral and Brain Sciences 3: 417–457.
Tarski, Alfred. 1936. O pojeciu wynikania logicznego. Przeglad Filozoficzny 39, 58–68; English translation On the concept of following logically. History and Philosophy of Logic 23 (2000): 155–196.
Tuboly, Adam. 2017. From “Syntax” to “Semantik”—Carnap’s inferentialism and its prospects. Polish Journal of Philosophy 11: 57–78.
Turing, Alan. 1950. Computing machinery and intelligence. Mind 59: 433–460.
Van Benthem, Johan, and Alice ter Meulen (eds.). 1996. Handbook of logic and language. Amsterdam: North Holland.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 The Author(s)
About this chapter
Cite this chapter
Peregrin, J. (2020). The Complexities of Syntax. In: Nefdt, R.M., Klippi, C., Karstens, B. (eds) The Philosophy and Science of Language. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-030-55438-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-030-55438-5_2
Published:
Publisher Name: Palgrave Macmillan, Cham
Print ISBN: 978-3-030-55437-8
Online ISBN: 978-3-030-55438-5
eBook Packages: Religion and PhilosophyPhilosophy and Religion (R0)