Reply to the Note by Mr . Aloys Müller , “ On Numbers as Signs ” ( 1923 )
نویسندگان
چکیده
Mr. Aloys Müller’s criticism of the conception of number theory as a theory that deals with meaningless signs (“number signs”) consists basically in three objections. A discussion of these objections is useful for clarifying the standpoint of intuitive number theory, and thereby also that of Hilbert’s proof theory. 1. The first objection is terminological and is directed against the use of the word “sign” for something meaningless [bedeutungslos]. If the objects of number theory, such as 1, 1+1, have no meaning, then they are not signs, so the objection goes, but rather figures or, “as we would rather want to say,” shapes [Gestalten]. The first part of this objection must be conceded: Indeed, it corresponds better to linguistic usage to say that the objects of intuitive number theory,
منابع مشابه
Author’s Reply to “A Note on the Simulation of Gas Diffusion in Capillaries and Porous Solids”
متن کامل
Author’s Reply to “A Note on the Simulation of Gas Diffusion in Capillaries and Porous Solids”
متن کامل
Circularity in Searle’s Social Ontology: With a Hegelian Reply
John Searle’s theory of social ontology posits that there are indispensable normative components in the linguistic apparatuses termed status functions, collective intentionality, and collective recognition, all of which, he argues, make the social world. In this paper, I argue that these building blocks of Searle’s social ontology are caught in a petitio of constitutive circularity. Mo...
متن کاملA Note on the Strong Law of Large Numbers
Petrov (1996) proved the connection between general moment conditions and the applicability of the strong law of large numbers to a sequence of pairwise independent and identically distributed random variables. This note examines this connection to a sequence of pairwise negative quadrant dependent (NQD) and identically distributed random variables. As a consequence of the main theorem ...
متن کاملSeismic Mitigation of Building Frames using Magnetorheological Damper (TECHNICAL NOTE)
The present study focusses on the damping force control of shear mode magnetorheological (MR) damper for seismic mitigations. Therefore, the semi-active MR damper which can control the vibration is analyzed both experimentally and numerically. Carbonyl iron is used as the magnetic particle and Castrol Magnetec oil as carrier fluid throughout the study. MR damper is designed and fabricated, and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2001