Questions tagged [frege]

Gottlob Frege (1848-1925) was an important German mathematician, logician and philosopher who is generally considered the father of modern logic and analytic philosophy.

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Did logicists use mathematical entities (in their attempt) to reduce mathematics to logic?

Two concepts F,G are equinumerous if there exists a one-to-one correspondence between the objects that fall under F and G. Equinumerosity is one the most fundamental building blocks of Gottlob ...
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Truth values of sentences

Frege proposed that the meaning of a sentence is its truth value in "Über Sinn und Bedeutung" (close to "On Sense and Meaning"). This is not correct because some (many) English sentences do not have ...
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What to read in-depth on Frege's Julius Ceasar problem?

I am planning to get a good grip on Frege's Julius Caesar Problem. I know that classic papers on the topic are Heck and Wright&Hale, but I would be grateful if someone gave me a little piece of ...
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What is the difference between Frege's and Descartes' theory of ideas?

Frege discusses the ideas (Vorstellungen) in Logical Investigations part I: Thoughts. Descartes discusses the ideas (the imagination) in Meditation VI. We have to find a similarity and a difference ...
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Why should a system of set theory represent the following property of x: ((x = h) or (x = k))) using the set that Frege used?

I have been considering the possibility of an approach to set theory that represents the following property of the free variable x, in the terms of parameters h and k: ((x = h) or (x = k))) by means ...
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Epistemology: What role does “ intensionality” play in the knowledge relation? Is “ intension” a third term in the knowledge relation?

How to analyse the fact that , at the same time, my 7 y. old nephew (1) knows that : 1+1 =2 (2) does not know that : sqrt (1) + 1² = the absolute value of the cube root of -8. ? Certainly, "...
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Frege: Truth as an expression of assertoric force

I am writing an essay on Frege's redundancy theory of truth. As far as I have read, his theory is that the word 'true' does not add anything to the thought of a sentence in which it appears, however, ...
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Can Frege overcome Russell's critique in “On denoting”?

I would like to know what would be the best way to overcome the criticism of Frege laid out by Russell in "On denoting", especially in regard to the third "paradox" presented. This paradox states ...
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Superiority of the concept as opposed to synthetic apperception

In The Foundations of Arithmetic (§ 48, p. 61), after maintaining that statements of numbers are indeed statements of fact, Frege asserts that: The concept has a power of collecting together far ...
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Frege and Value-Range

I have been reading Kevin C. Klement's article on Gottlob Frege in the Internet Encyclopedia of Philosophy. I am confused by the term "value-range", which is used numerous times throughout the article....
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When we talk about a general concept, we imagine a particular instance

I'm looking to find some resources to read about the following: When we talk about a general concept (the word pencil in "a pencil is made of wood"), we actually have a mental image of a particular ...
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What is the difference between an ampliative and explanatory reasoning?

I'm reading "Reason's nearest kin" of michael potter and he says: Now the distinctive feature of reasoning that is ampliative rather than merely explicative is that it depends on objects as its ...
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What does Frege mean by “Cognitive Significance” in “On Sense and Nominatum”?

I'm reading Frege's "On Sense and Nominatum" and he uses "Cognitive significance", "Genuine Cognition"... I kind of infer from the context of each paragraph what he means with those kinds of phrases ...
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What's the difference between Aristotle's logic and Frege's logic especially with regard to predicates?

I'm reading a book and the author introduced Aristotelian logic and then he provided an overview of Frege's development of logic, but I don't understand what the difference is between Aristotle's ...
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Quantificational vs Referential vs Predicational descriptions

Reading Peter Ludlow's article on descriptions, it's clear to me that descriptions can be interpreted, found or considered in 3 different ways. They can be seen as quantificational, referential or ...
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What is the difference between judgment and concept in Frege?

In his critique of Boole and the other algebraic logicians, Frege made a strong use of what is known as "the Priority Principle". The Priority Principle expresses Frege's belief that our ...
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How important are Frege works to an analytic philosopher?

Don't kill me. I know he is a big deal. But I am starting out in analytic philosophy and I am not quite sure how deep I should go in a first approach. Should I read all the context and other ...
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Why are imperatives not propositions according to Frege?

I'm reading Frege's "On Sense and Nominatum" and I am confused with: "Imperatives have no nominata; they have only sense. It is true, commands or requests are not propositions, but they are of the ...
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Any great commentary of “On Sense and Nominatum” by Frege?

I'm reading it and I feel that I sometimes I need some level of context. Thanks.
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Kripke's Puzzle Confusion

I'm not convinced that the Fregean rebuttal has been successfully repelled by Kripke in Kripke's puzzle. Don't Londres and London have two different senses in that Pierre associates Londres with being ...
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What is the difference between concepts of number and natural number?

When reading an article about Frege on Stanford Encyclopedia of Philosophy (https://plato.stanford.edu/entries/frege/#AnaStaNum), in section 2.5 I encountered the following sentence: But though ...
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Frege's Argument About the Sense and Reference of a Sentence

Here is the text I am working with: http://brianrabern.net/sensereference.pdf As the title of this thread indicates, I am having trouble understanding Frege's argument that the thought of sentence (i....
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How does Frege's definition of number solve the Julius Caesar problem?

How does Frege's definition of number solve the Julius Caesar problem? Frege's definition of number in the end of Foundation is such: the number belonging to the concept F is the extension of the ...
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Was Locke right that analytic knowledge is vacuous?

According to Locke, it is impossible to obtain substantive knowledge from analytic propositions. Statements like "triangle has three sides" are analytic, but one cannot derive the Pythagorean Theorem ...
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Was there a Kantian influence on Hilbert's formalist programme?

In this paper by Cassou-Nogues which is on an aspect of the mathematical philosophy of Cavailles he quotes the mathematician Hilbert (a colloborator of Einstein in Gottingen) ...We find ourselves ...
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What is the Fregeian meaning of “grasping”?

Frege holds in Der Gedanke that the Thought is the unity of existence because he considers Thought and proposition to be the very same thing, and our cognition of non-propositional objects is ...
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Can Frege coherently admit expressions that have a sense but lack a reference?

I am looking here for any sources that respond to the question given: Can Frege coherently admit expressions that have a sense but lack a reference? I am familiar with a lot of the exegetical work ...
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Did Frege criticize the style of the Tractatus?

Wittgenstein's Tractatus appears to have a singular style (526 sections numbered and organized in decimal under headings 1 to 7). It's also very concise. And the stylistic side is not envisaged by ...
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Who are the contemporary proponents of the metalinguistic view about idenity statements?

I am looking for contemporary proponents of the following thesis: Identity statements such as "a = b" are to be interpreted metalingustically, for example as "the names "a" and "b" are coreferential"....
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Would Frege say “blue” is a concept or object?

"3" is an object, because numbers are special. "falling under 3" is a concept. This particular whale whom I've named Ernie, "Ernie" is an object. "Whales" is a concept. "being blue" is a concept. ...
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Can the correspondance theory of truth take into account observer effects?

Kant wrote in the Metaphysics of Natural Science If we ·keep mathematics out of the picture and· think of the doctrine of the soul merely as a systematic art of analysis or as an experimental ...