Frege: Logic, Meaning and Reference

Research record

In the late nineteenth and early twentieth centuries, philosophy faced a serious question—how to express logic in a more rigorous form, apart from psychological habits, linguistic grammar, or traditional term logic? Questions of mathematical proofs, numbers, universal statements, relations and identities crossed the boundaries of ordinary grammar. Gottlob Frege tried in this crisis to develop a language of reasoning in which the logical form of the statement is more explicit. But Frege's importance is not limited to formal logic. His work opens up a basic problem in the philosophy of language: Why might two different expressions refer to the same thing, yet have different intellectual value to knowing them? Both ‘morning star’ and ‘evening star’ refer to the planet Venus, but knowing ‘morning star = evening star’ is not as trivial as ‘morning star = morning star’. This problem illustrates two dimensions of meaning. To what object or truth-value an expression points—this is its reference; The way in which the object is presented to me—it is its sense. The basic assertion of this chapter is that Frege is a crucial turning point in modern analytic philosophy, since his work brought about changes on three levels: the formalization of logic; attempts to separate meaning from psychological feeling; and distinctions between contexts and modes of presentation of linguistic expression. For Frege, logic is not just a description of how humans actually think, but a normative discipline of how to draw the right conclusions. For this reason, logic cannot merge with psychology. His basic teaching in the philosophy of language is that meaning would not be complete by simply asking ‘what object?’. ‘In what manner was that object presented?’ must also be asked. The same context may be expressed by a different sense.

Structured debate

Pūrvapakṣa

The first form of the former might say that the distinction between semantics and context is highly abstract. A person speaking an ordinary language would not think of 'mode of presentation' and 'context' separately; To what extent, then, do these philosophical distinctions represent actual linguistic practice? The second premise says that it is unnatural to treat the context of a sentence as a truth-value. A sentence is about an event, situation, or fact; To call ‘true’ or ‘false’ its context can seem like imposing a framework of formal logic on language. The third premise is on the concept–object distinction. In natural language, terms like 'humanity', 'redness' or 'truth' take on object-like noun forms. If concepts are not logically objects, then why does language seem to repeatedly break this category distinction? The fourth premise is from the Indian perspective. The Indian tradition has lengthy discussions on word–meaning, syntax, characteristics, caste, person, absence, relationship and proof; In such a case, it would be Eurocentric history to call Frege the ‘beginning of the philosophy of language’.

Uttarapakṣa

Answer to the first premise—the philosophical distinction is used here not to be a direct imitation of practice, but to clarify epistemic differences. A normal speaker may not use the word 'meaningful', however, he understands that 'morning star' and 'evening star' convey different information. The theory formalizes this distinction. The answer to the second precedent—taking the truth-value of a sentence as a referent—should be understood within Frege’s broader logical project. It is not a simple definition of normal linguistic feeling, but a proposition designed for the logical explanation of joint statements and substitutions. Answer to the third premise—the concept–object distinction indeed creates tension with natural language; This tension was experienced by Frege himself. For this reason, his theory is not exempt from criticism. But category distinctions remain a powerful means of clarifying logical roles. Answer to the fourth premise—Frege is not the universal beginning of the philosophy of language, but the decisive turning point of the modern European analytic tradition. There is already a history of independent linguistic philosophies of the Nyaya, Mimansa, Grammar, Buddhist and Jain traditions. Parallel philosophy acknowledges this polycentric history.

Parallel conclusion

Frege is decisive in the history of modern analytic philosophy because his work gave a new formal rigor to questions of logic, mathematics, and the philosophy of language. The distinction between semantic perception and context makes it clear that object designation is not merely the entirety of meaning. The same object can be known by a different mode of presentation, and this difference produces new knowledge. Frege's ideas about concept–object, function–logic, context–theory and truth–value are powerful, but do not encompass all the dimensions of ordinary language. Later philosophies of language will expand this boundary. Indian jurisprudence, mysticism, grammar and Buddhist semantics are independent intellectual traditions. The neo-justice of Mithila is not a precursor to Frege; But the dialogue about linguistic clarity, relationship analysis and the limits of claims is very fruitful.

Section index

1. Problem and scope · 4 source passages
2. Central thesis · 5 source passages
3. Major arguments · 10 source passages
4. Pūrvapakṣa · 4 source passages
5. Uttarapakṣa · 4 source passages
6. Indian philosophical dialogue · 5 source passages
7. Mithila’s parallel perspective · 6 source passages
8. Contemporary applications · 6 source passages
9. Chapter conclusion · 5 source passages
10. Chapter bibliography · 14 source passages

Cite this record

Gajendra Thakur. “Frege: Logic, Meaning and Reference.” Videha Digital Research Archive: Mithila–Vajji–Anga. Videha — https://www.videha.co.in/ · ISSN 2229-547X · GitHub mirror: https://videha-ejournal.github.io/videha/ · Digital Research Archives on GitHub: https://github.com/videha-ejournal. https://videha-ejournal.github.io/mithila-vajji-anga/records/idea/philosophy-v2-7/