Are Fregean thoughts compositionally complex and composed of senses? We argue that, in Begriffsschrift, Frege took 'conceptual contents' to be unstructured, but that he quickly moved away from this position, holding just two years later that conceptual contents divide of themselves into 'function' and 'argument'. This second position is shown to be unstable, however, by Frege's famous substitution puzzle. For Frege, the crucial question the puzzle raises is why "The Morning Star is a planet" and "The Evening Star is a (...) planet" have different contents, but his second position predicts that they should have the same content. Frege's response to this antinomy is of course to distinguish sense from reference, but what has not previously been noticed is that this response also requires thoughts to be compositionally complex, composed of senses. That, however, raises the question just how thoughts are composed from senses. We reconstruct a Fregean answer, one that turns on an insistence that this question must be understood as semantic rather than metaphysical. It is not a question about the intrinsic nature of residents of the third realm but a question about how thoughts are expressed by sentences. (shrink)

In §8 of his Begriffsschrift (1879), Gottlob Frege discusses issues related to identity. Frege begins his most famous essay, “On Sense and Denotation” (1892), published 13 years later, by criticizing the view advocated in §8. He returns to these issues in the concluding paragraph. Controversies continue over these important passages. We offer an interpretation and discuss some alternatives. We defend that in the Begriffsschrift, Frege does not hold that identity is a relation between signs. §8 of the Begriffsschrift is motivated (...) by the conflict between two different criteria for sameness of conceptual content of sentences. To resolve that conflict, Frege introduces ‘≡’ in §8 and, thus, circumstances with names as constituents. To the same end, in “On Sense and Denotation,” Frege introduces senses and Thoughts and abandons both ‘≡’ and circumstances. He solves what we call the Co-instantiation problem, and disregards, but does not solve, the Name problem. (shrink)

A speculative investigation of how Frege's logical views change between Begriffsschrift and Grundgesetze and how this might have affected the formal development of logicism.

I trace changes to Frege's understanding of numbers, arguing in particular that the view of arithmetic based in geometry developed at the end of his life (1924–1925) was not as radical a deviation from his views during the logicist period as some have suggested. Indeed, by looking at his earlier views regarding the connection between numbers and second-level concepts, his understanding of extensions of concepts, and the changes to his views, firstly, in between Grundlagen and Grundgesetze, and, later, after learning (...) of Russell's paradox, this position is a natural position for him to have retreated to, when properly understood. (shrink)

According to Stewart Candlish, Russell and Moore had misunderstood F. H. Bradley’s monism. According to Jonathan Schaffer, they had misunderstood monism more generally. A key thread of the creation narrative of analytic philosophy, according to which Russell and Moore successfully undermined monism to give rise to a new movement is, therefore, in doubt. In this paper, I defend the standard narrative against those who seek to revise it.

Standard histories of mathematics and of analytic philosophy contend that work on the foundations of mathematics was motivated by a crisis such as the discovery of paradoxes in set theory or the discovery of non-Euclidean geometries. Recent scholarship, however, casts doubt on the standard histories, opening the way for consideration of an alternative motive for the study of the foundations of mathematics—unification. Work on foundations has shown that diverse mathematical practices could be integrated into a single framework of axiomatic systems (...) and that much of mathematics could be expressed in a single language. The new framework was the product of an interdisciplinary coalition whose ideas resemble those later adopted by the Vienna Circle and logical empiricists. (shrink)

European Journal of Philosophy, Volume 29, Issue 4, Page 988-1009, December 2021.

Ray Monk and Anthony Palmer, (eds) Bertrand Russell and the Origins of Analytical Philosophy, Thoemmes Press, Bristol, 1996; pp. xvi + 383; Hans-Johann Glock, (ed.) The Rise of Analytic Philosophy, Blackwell, 1997; pp. xiv + 95; Matthias Schirn, (ed.) Frege: Importance and Legacy, Walter de Gruyter, Berlin, 1996; pp. x + 466; Stuart G. Shanker, (ed.) Philosophy of Science, Logic and Mathematics in the Twentieth Century, Routledge History of Philosophy Volume IX, Routledge, 1996; pp. xxxviii + 461; John Blackmore, (ed.) (...) Ludwig Boltzmann: His Later Life and Philosophy, 1900-1906, Kluwer, Dordrecht, 1995; pp. xvi + 266. (shrink)

Toisaalta ennennäkemätön äärettömien joukko-opillisten menetelmien hyödyntäminen sekä toisaalta epäilyt niiden hyväksyttävyydestä ja halu oikeuttaa niiden käyttö ovat ratkaisevasti muovanneet vuosisatamme matematiikkaa ja logiikkaa. Tämän kehityksen vaikutus nykyajan filosofiaan on myös ollut valtaisa; merkittävää osaa siitä ei voi edes ymmärtää tuntematta sen yhteyttä tähän matematiikan ja logiikan vallankumoukseen. Lähestymistapoja, jotka tavalla tai toisella hyväksyvät äärettömän matematiikan ja perinteisten logiikan sääntöjen (erityisesti kolmannen poissuljetun lain) soveltamisen myös sen piirissä, on tullut tavaksi kutsua klassiseksi matematiikaksi ja logiikaksi erotuksena nämä hylkäävistä radikaaleista intuitionistisista ja (...) konstruktivistisista opeista. (shrink)

It is argued that Russell before 1905 saw no value in Frege's sense/reference distinction. This is clearest in the Mont Blanc correspondence. It is argued that Russell and Frege failed to engage because Frege lacked a grasp on the internal/external relations distinction. For Russell sense is either an external relation, objectionably separating out thought and reference, or an internal relation, so what is thought is altered such that we do not know what we are talking about. The novelty of the (...) present paper lies in the arrangement of the parts and the claim that Russellian propositions are not made up of the things themselves but of transparent representatives thereof. (shrink)

In the aftermath of a normalized Foucaultian world with an all encompassing web of biopower, one remaining hope is to cultivate nimbleness. Nimbleness is an embodied aesthetic sensitivity to the material presence. Cultivating nimbleness is a particular style of cultivation; it is to willfully gather together one’s self in the wake of a formative force far richer than the derivative web of living power relationships of human embeddness within a horizon of social, economical, political and historical subjectivating power relations; which (...) are chronicled and labeled by Michel Foucault as the normalizing practices of biopower. In other words to have freedom, one must start by rejecting the categories and labels normally internalized in order to relearn to learn from the material presence. Such a style of cultivation is a means of resisting normalizing power relations which co-opt cultivating practices to engross their own dominance which has had the by-product of an impotence to negate the gross material injustices present. This normalizing style of cultivation is a prevalent, corrupted, semblance which denies the importance of beauty for that of efficiency, rejects non-human purposiveness, and limits its measure of ethics to short term economical pragmatism. The thesis acknowledges that something is awry with the world and that giving care to beauty might help. The aim is to examine the event of Beauty as depicted by the philosopher Immanuel Kant and to apply this characterization to elective architectural spaces such that it may motivate individuals to cultivate their own nimbleness in relation to a formative force of nature. However given the revealed need for sensitivity to the particular material presence, the thesis can not be a rule book or catalog for beautiful design. Rather it is a rehabilitation for architects who are already heterospatially curious, with the desired outcome of architects cultivating their own nimbleness to reflectively judge as a ground up, multi-node, rhizomatic means of resistance to normalizing power practices as manifest in bad architecture. (shrink)