Intuicionistinis kontinuumas /

The problem of the continuum phenomenon has been of interest to mathematicians and philosophers around the world from the ancient Greek period to the present day. The continuum is usually understood as infinity, and the characteristics of this infinity have been thought about and discussed from many different perspectives. One of them is intuitionistic. The world's leading mathematicians and philosophers have developed and interpreted the concept of the intuitionistic continuum in order to prove their conjectures. This often philosophical activity is still carried out today because it is inherent in human beings to think and to seek to discover, while there may not be a single truth, as the phenomenon of the intuitionistic continuum shows. The goal of this thesis is to analyse and describe the different authors' understandings and conjectures of the mathematical continuum, the intuitionistic continuum. The results of this thesis show that the intuitionistic continuum, as a view of the mathematical continuum, has developed gradually, by discovering, collecting, combining and rejecting conjectures of different mathematicians and philosophers. The intuitionistic approach to the continuum has influenced the hypotheses of existing continuum approaches.

Grantor dc:publisher

Institutional Repository of Vilnius University

Year dc:date

2024

Author dc:creator

• Kovzan, Patricija,

Statement dc:rights

• info:eu-repo/semantics/openAccess

Language dc:language

lit

Repository record dc:identifier

https://repository.vu.lt/VU:ELABAETD210641904&prefLang=en_US

OAI identifier oai:identifier

oai:vu.lt:elaba:210641904