Kant and new mathematics 100 years later
Cassirer’s critique of Russell’s philosophy of mathematics and the Neo-Kantian philosophy of science and mathematics as a whole is of special relevance in the context of modern mathematics and mathematical physics. The fact that the modern standard axiomatic architecture of mathematical theories does not take into account the object-based character of mathematical knowledge, which was stressed after Kant by Cassirer, complicates the application of new mathematical theories in natural sciences and...
What is Kantian Philosophy of Mathematics? An Overview of Contemporary Studies
... Journal of Philosophy, 10(3), pp. 328-352.
Heis, J., 2014. Kant (vs. Leibniz, Wolff and Lambert) on Real Definitions in Geometry. Canadian Journal of Philosophy, 44(5-6), pp. 605-630.
Heis, J., 2020. Kant on Parallel Lines: Definitions, Postulates, and Axioms. In: C. J. Posy and O. Rechter, ed. 2020. Kant’s Philosophy of Mathematics; Volume I: The Critical Philosophy and Its Roots. Cambridge: Cambridge University Press, pp. 157-180.
Hintikka, J., 1981. Kant’s Theory of Mathematics Revisited. Philosophical ...
Means of expressing the author’s modality in The Epistle to the Ugra of Vassian Rylo
It is an axiom in modern linguistics that language must be studied with consideration of the anthropological factor. In this regard, scholars have shown increasing interest in the category of authorial modality. Since the late 1980s, numerous academic works have ...
The origins of metric typology: from ‘metrotonics’ to ‘tactometrics’
....).
Gasparov, M. L., 2003.
Ocherk istorii evropeiskogo stikha
[A history of European versification]. 2nd ed. Moscow, pp. 203—204 (in Russ.).
Halle, M. and Fabb, N., 2008.
Meter in poetry. A new theory
. New York.
Jakobson, R. and Lotz, J., 1951. Axioms of a Versification System Exemplified by the Mordvinian Song.
Acta instituti hungarici univesitatis Holmiensis
, 1, pp. 5—13.
Jakobson, R., 1952. Studies in Comparative Slavic Metrics.
Oxford Slavonic Papers
, 3, pp. 21—66.
Korchagin, K. ...
Theoretical analysis of fuzzy logic and Q. E. method in economics
This paper analyzes the key elements of fuzzy logic and showes that through rational, behavioral economics and neo-classical economics it is possible to develop models using the Q. E. methodology. Therefore, it is plausible to apply contemporaneous Q. E. methodology in combination with the rationality and the behavioral approach. The fuzzy logic and the generator is the source of this mechanism for the production of the appropriate models.
1. Calvin minds in the making. URL:
https://www.calvin...
Approaches to entrepreneurship development through assessing the validity of economic knowledge
This article emphasizes the need to develop methodologies through applying valid economic knowledge within research approaches used in writing final and PhD theses in order to apply this knowledge in the development of entrepreneurship in the context of model approaches. The proposed methodological approach in the field of economic education contributes to the training of highly qualified specialists in economics.
1. Бродель Ф. Материальная цивилизация, экономика и капитализм, XV—XVIII вв...
Space and Time as A Priori Forms in the Works of Hermann Cohen and Ivan Lapshin
... knowledge. In Cohen’s account space and time pre-establish the language of observation and found all scientific-theoretical work. Lapshin, on the other hand, in discussing the formal and substantive features of these categories (the introduction of “axioms” of time, the need to specify the concepts of time and space through other categories), notes that their use in scientific judgment implies an epistemological givenness of the concept of the object. This I see as a variant of solving one and ...
City as an explicant of the key concepts in Dostoevsky’s “The Adolescent
The perception of Fyodor Dostoevsky as a literary painter of St. Petersburg has become an axiom in literary criticism. However, modern researchers pay attention to the significance of other cities for the writer, which are inextricably linked both with his biography and his work. Fyodor Dostoevsky not only instantly noticed visual metaphors ...
Kants „moralisch-bestimmter Monotheismus“ – eine an der „wahren Aufklärung“ orientierte Kritik an Lessings Ringparabel?
Numerous passages in the context of Kant’s philosophy of religion show without doubt his acquaintance with Lessing. But apart from the obvious affinity and agreement between Kant and Lessing with regard to many substantial questions, serious differences cannot be overlooked; the frequently diagnosed closeness and widely suspected “harmony” between the two is probably also the primary reason why important factual differences and controversial aspects have so far usually been neglected or ignored in...
Was heißt Fortschritt im Wissen? Gnoseotopische Überlegungen zur Aufklärung und ihren Folgen
.... The answer is rooted in a shift in perspective in our understanding of the Enlightenment, and in an awareness of the gnoseotope at the center of this perspectival shift. Given the fact that human knowledge has always been considered limited, the axiom called gnoseotope (from Greek gnōsis: cognition, knowledge and topos: place, area, field) can be defined as the area of relatively secure knowledge, which is subject to both quantitative (cumulative) and qualitative (paradigmatic) historical ...
The second application of transcendental logic
... N. Y., 1962.
10. Melnick A. Kant’s Analogies of Experience. Chicago; L., 1973.
11. Rohs P. Transzendentale Logik. Meisenheim am Glan, 1976.
12. Stuhlmann-Laeisz R. Kants Logik. B.; N. Y., 1976.
rules and laws of transcendental logic, schema, the axioms of intuition, anticipations of perception, analogies of experience, postulates of empirical thought
Semyonov V. Ye.
18-32
10.5922/0207-6918-2011-3-2
The concept of postulate in Kant's philosophy
... Philosophische Versuche über die menschliche Natur und ihre Entwickelung / Besorgt von W. Uebele. Berlin, 1913. Bd. 1.
29. Wolff Chr. Mathematisches Lexicon. Leipzig, 1716.
30. Wolff Chr. Philosophia rationalis sive Logica. Leipzig, 1740.
postulate, axiom, hypothesis, principle, fundamental principle, maxim, highest good, existence of God, immortality of soul, autonomy of will, faith
Kryshtop L. E.
24-36
10.5922/0207-6918-2011-1-2
A transcendental analysis of mathematics: The abstract nature of mathematical knowledge
... mathematical knowledge (cognition) as the “construction of concepts in intuition” (see: “to construct a concept means to exhibit a priori the intuition corresponding to it”; [CPR, A713/В 741], which is “thoroughly grounded on definitions, axioms, and demonstrations” [CPR, A726/В 754]. Mathematical objects, unlike specific ‘physical’ objects, are of abstract nature (a-obj¬ects vs. the-objects) and are introduced (defined) within Hume’s principle of abstraction. Based on his doctrine ...
Revisiting Schleiermacher’s On the Different Methods of Translating: On the Foundations of Translation Relativity Theory
Translation is a multidimensional phenomenon. All the theories stress the diversity of its types and strategies. Phenomena described as an unexplainable deviation within one theory can form the foundation for another. This may lead to the idea of replacing a theory of translation with its empiric version. However, a different approach is also possible. The outlines of the theory of translational and traductological relativity can be derived from the ideas first voiced by Schleiermacher in his lecture...
A transcendental analysis of mathematics: The constructive nature of mathematics
... mathematical knowledge (cognition) as the “construction of concepts in intuition” (see: “to construct a concept means to exhibit a priori the intuition corresponding to it”; [CPR, A 713/В 741], which is “thoroughly grounded on definitions, axioms, and demonstrations” [CPR, A 726/В 754]. Unlike specific ‘physical’ objects, mathematical objects are of abstract nature and they are introduced using Hume’s principle of abstraction. Based on the doctrine of schematism, Kant develops ...
The teaching on postulates in Kant’s lectures on philosophical theory of religion
... Religionsphilosophie. Berlin ; New York, 1990.
24. Zobrist M. Kants Lehre vom höchsten Gut und die Frage moralischer Motivation // Kant-Studien. 2008. Bd. 99.
postulates, practical reason, existence of god, immortality of soul, freedom, highest good, axiom, moral theology, belief, happiness, virtue, holiness
Kryshtop L. E.
49-61
10.5922/0207-6918-2015-2-3
[html]1. Kant, I. 1994a, Kritika prakticheskogo razuma [Critique of practical reason], in: Kant I. Sobr. soch. w 8 t., Moscow, T. 4.2. Kant,...
The principle of sufficient reason in German philosophy of the Enlight-enment
... of the second half of the XVIII century]. Moscow.5. Leibniz, G.V. 1982. Monadologija [Monadology]. In: Lejbnic G. V. Sobranie sochinenij v 4 tomah. [Works in 4 volumes]. T. 1. Moscow.6. Leibniz, G.V. 1984. Ob osnovnyh aksiomah poznanija [On the basic axioms of knowledge]. In: Lejbnic G., Sobranie sochinenij v 4 tomah. [Works in 4 volumes]. T. 3. Moscow.7. Leibniz, G.V. 1989. Opyty Teodicei o blagosti Bozhiej, svobode cheloveka i nachale zla [Theodicy experience the goodness of God, freedom, human ...
The Russian language, dialogue of cultures, and F. M. Dostoyevsky
This article shows that the dialogue of cultures is one of the fundamental socio-political needs. The author emphasises – which is an axiom for many educated people – that interactions limited to a close circle of ‘us’ impoverishes one’s life and that many values cannot be divided into ‘ours’ and ‘theirs’. The article analyses the increasing interest in Russian culture ...