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Philosophical analysis and possible interpretations of Gödel's incompleteness theorems
Arazim Dolejší, Zuzana ; Vlasáková, Marta (advisor) ; Peliš, Michal (referee)
❆❜str❛❝t ❚❤❡ ❞✐♣❧♦♠❛ t❤❡s✐s ❞❡❛❧s ✇✐t❤ ♣♦ss✐❜❧❡ ♣❤✐❧♦s♦♣❤✐❝❛❧ ❛♥❛❧②s❡s ♦❢ ●ö✲ ❞❡❧✬s ✐♥❝♦♠♣❧❡t❡♥❡ss t❤❡♦r❡♠s ❛♥❞ t❤❡✐r ✐♥t❡r♣r❡t❛t✐♦♥s ✐♥ ❞✐✛❡r❡♥t ❜r❛♥❝❤❡s♦❢♣❤✐❧♦s♦♣❤②✭♣❤❡♥♦♠❡♥♦❧♦❣②✱❛♥❛❧②t✐❝❛❧♣❤✐❧♦s♦♣❤②♦❢♠✐♥❞✱ ❑❛♥t✬s ♣❤✐❧♦s♦♣❤②✮✳ P❛rt ♦❢ t❤❡ t❤❡s✐s ✐s ❞❡❞✐❝❛t❡❞ t♦ t❤❡ ❛tt✐t✉❞❡s t♦ ♠❛t❤❡♠❛t✐❝❛❧ ❞✐s❝✐♣❧✐♥❡s ❛♥❞ t❤❡✐r ❢✉♥❞❛♠❡♥t❛❧ tr❛♥s❢♦r♠❛t✐♦♥s ❝❛✉s❡❞ ❜② r❡✈♦❧✉t✐♦♥❛r② ❞✐s❝♦✈❡r✐❡s s✉❝❤ ❛s ◆♦♥✲❊✉❝❧✐❞❡❛♥ ❣❡♦♠❡t✲ r✐❡s ❛♥❞ ✐♥❝♦♠♣❧❡t♥❡ss t❤❡♦r❡♠s✳ ❚❤❡ r❡❧❛t✐♦♥s❤✐♣ ❜❡t✇❡❡♥ t❤❡ s❡❝♦♥❞ ●ö❞❡❧✬s ✐♥❝♦♠♣❧❡t❡♥❡ss t❤❡♦r❡♠✱ ●❡♥t③❡♥✬s ❝♦♥s✐st❡♥❝② ♣r♦♦❢ ♦❢ P❡❛♥♦ ❛r✐t❤♠❡t✐❝ ❛♥❞ ❍✐❧❜❡rt✬s ♣r♦❣r❛♠♠❡ ✐s ❛❧s♦ ❞✐s❝✉ss❡❞✳
Philosophical analysis and possible interpretations of Gödel's incompleteness theorems
Arazim Dolejší, Zuzana ; Vlasáková, Marta (advisor) ; Peliš, Michal (referee)
❆❜str❛❝t ❚❤❡ ❞✐♣❧♦♠❛ t❤❡s✐s ❞❡❛❧s ✇✐t❤ ♣♦ss✐❜❧❡ ♣❤✐❧♦s♦♣❤✐❝❛❧ ❛♥❛❧②s❡s ♦❢ ●ö✲ ❞❡❧✬s ✐♥❝♦♠♣❧❡t❡♥❡ss t❤❡♦r❡♠s ❛♥❞ t❤❡✐r ✐♥t❡r♣r❡t❛t✐♦♥s ✐♥ ❞✐✛❡r❡♥t ❜r❛♥❝❤❡s♦❢♣❤✐❧♦s♦♣❤②✭♣❤❡♥♦♠❡♥♦❧♦❣②✱❛♥❛❧②t✐❝❛❧♣❤✐❧♦s♦♣❤②♦❢♠✐♥❞✱ ❑❛♥t✬s ♣❤✐❧♦s♦♣❤②✮✳ P❛rt ♦❢ t❤❡ t❤❡s✐s ✐s ❞❡❞✐❝❛t❡❞ t♦ t❤❡ ❛tt✐t✉❞❡s t♦ ♠❛t❤❡♠❛t✐❝❛❧ ❞✐s❝✐♣❧✐♥❡s ❛♥❞ t❤❡✐r ❢✉♥❞❛♠❡♥t❛❧ tr❛♥s❢♦r♠❛t✐♦♥s ❝❛✉s❡❞ ❜② r❡✈♦❧✉t✐♦♥❛r② ❞✐s❝♦✈❡r✐❡s s✉❝❤ ❛s ◆♦♥✲❊✉❝❧✐❞❡❛♥ ❣❡♦♠❡t✲ r✐❡s ❛♥❞ ✐♥❝♦♠♣❧❡t♥❡ss t❤❡♦r❡♠s✳ ❚❤❡ r❡❧❛t✐♦♥s❤✐♣ ❜❡t✇❡❡♥ t❤❡ s❡❝♦♥❞ ●ö❞❡❧✬s ✐♥❝♦♠♣❧❡t❡♥❡ss t❤❡♦r❡♠✱ ●❡♥t③❡♥✬s ❝♦♥s✐st❡♥❝② ♣r♦♦❢ ♦❢ P❡❛♥♦ ❛r✐t❤♠❡t✐❝ ❛♥❞ ❍✐❧❜❡rt✬s ♣r♦❣r❛♠♠❡ ✐s ❛❧s♦ ❞✐s❝✉ss❡❞✳

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