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Cognitive Autocracy of the Object as a Theoretical Presupposition of Foundational Analyses in Epistemology: A Historical Review Akpan, Etorobong Godwin
Titian: Jurnal Ilmu Humaniora Vol. 6 No. 2 (2022): Desember 2022
Publisher : Fakultas Ilmu Budaya, Universitas Jambi

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22437/titian.v6i2.21028

Abstract

A historical review of epistemology was carried out. The objective of the study was to demonstrate through historical data that the underlying presupposition that rules epistemological analysis is the cognitive autocracy of the object. To achieve this objective, the method of content analysis with a special focus on the traditional historical method was adopted for the study. With the application of the historical method to the data of study, it was easy to demonstrate the validity of the thesis that epistemology is bedevilled by the cognitive autocracy of the object. It was concluded that the problem associated with the presupposition could be obviated if behavioural constructivism as a new approach to epistemology could be switched for rational reductionism.
The Fictionalist Concept of Numbers: A Critique Akpan, Etorobong Godwin; Ihunda, Victor Chizi
International Journal on Integrated Education Vol. 6 No. 3 (2023): International Journal on Integrated Education (IJIE)
Publisher : Researchparks Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31149/ijie.v6i3.4184

Abstract

The philosophy of mathematics is primarily concerned with the meaning of ordinary mathematical sentences and the question of whether abstract mathematical objects exist, with the objectives of strengthening the mathematical theory and aiding mathematics education. On the existence of mathematical objects, positions advanced have tended to crystallise in a number of oppositions. We find Platonists who believe in the existence of abstract mathematical entities, as opposed to fictionalists who deny the existence of such entities and attempt to strip mathematics of its abstract qualities. We also find realists who believe in the objective mind-independence of mathematical truth-values, who are opposed by various types of anti-realists or fictionalists. We investigate the ontological mathematical divide between mathematical fictionalists and mathematical realists using critical analysis as our method. This conflict includes the question of the existence of abstract mathematical objects and entities, as well as their epistemological justification, if they exist at all. We further upheld mathematical realism based on its ability to prove mathematical objectivity, apodictic, a priori knowledge and promote ease in mathematics education.