Kurt Gödel - 2024 ARCADIA

Question

Douglas Hofstadter built on this thinker’s mathematical exploration of self-reference to introduce the idea of consciousness existing as a “strange loop” in a book partially titled for him. For 10 points each:

[10e] Name this thinker who formulated a version of the liar’s paradox to prove the incompleteness of mathematics.

ANSWER: Kurt Gödel [or Kurt Friedrich Gödel] (The Hofstadter book is Gödel, Escher, Bach: an Eternal Golden Braid.)

[10h] Gödel used his second incompleteness theorem to argue that numbers have content, part of his commitment that these abstract entities exist. Gödel defines these entities as “properties and relations of things existing independently of our definitions and constructions” in contrast to classes.

ANSWER: concepts (The referenced argument is in “Is Mathematics a Syntax or a Language?”)

[10m] Gödel’s logic has this property, meaning it uses continuous values between zero and one to express degrees of truth. Logic with this property emerged after Lotfi Zadeh applied it to sets.

ANSWER: fuzzy logic [prompt on many-valued logic]

<BW, Philosophy>

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Summary


2024 ARCADIA at BU	2024-12-06	Y	7	10.00	86%	14%	0%
2024 ARCADIA at Duke	2024-12-06	Y	3	13.33	100%	33%	0%
2024 ARCADIA at Missouri S&T	2024-12-06	Y	1	20.00	100%	100%	0%
2024 ARCADIA Online	2025-05-17	Y	5	16.00	100%	60%	0%
2024 ARCADIA at Penn State	2024-12-06	Y	2	15.00	100%	50%	0%
2024 ARCADIA at Florida Tech	2024-12-06	Y	3	13.33	100%	33%	0%
2024 ARCADIA at UC Berkeley	2024-12-06	Y	2	20.00	100%	100%	0%
2024 ARCADIA at Waterloo	2024-11-09	Y	6	16.67	83%	83%	0%
2024 ARCADIA at GT	2024-12-06	Y	5	6.00	40%	20%	0%
2024 ARCADIA at GT	2024-12-06	Y	1	10.00	0%	0%	100%
2024 ARCADIA at GT	2024-12-06	Y	1	20.00	100%	100%	0%
2024 ARCADIA at Illinois	2024-11-09	Y	4	12.50	75%	50%	0%
2024 ARCADIA at Warwick	2024-12-06	Y	5	18.00	80%	100%	0%
2024 ARCADIA at Claremont	2024-11-02	Y	3	16.67	100%	67%	0%

Data


BU	Boston College A	10	0	0	10
Boston College B	Harvard	10	0	0	10
Bowdoin B	Tufts A	10	0	0	10
Bowdoin C	Amherst	10	0	0	10
MIT	Bowdoin A	10	0	10	20
Brandeis A	Tufts B	10	0	0	10
Clark House	Yale	0	0	0	0
Waterloo Aspidistra	McMaster ApocolocyntosisBidii	10	0	10	20
Ottawa Absolomabsolomabsolom	Carleton A	0	0	0	0
Toronto A	Waterloo Basic	10	0	10	20
Toronto B	Toronto Chestnut Rice and Kamehameha	10	0	10	20
Toronto Disband the Club 2k24	Toronto Metropolitan A	10	0	10	20
McGill A	Waterloo Cloze	10	0	10	20
SGV Ventures	Claremont	10	0	10	20
Jason et al.	Anderson et al.	10	0	0	10
U[C]SD	ALCU	10	0	10	20
RIT	Maryland	10	0	10	20
Pitt	Penn State	10	0	0	10
Valencia	UCF B	10	0	10	20
UF C	UF A	10	0	0	10
UF B	UCF A	10	0	0	10
Berkeley B	Berkeley Past	10	0	10	20
Berkeley A	Stanford	10	0	10	20
Purdue A	Chicago A	10	0	0	10
Chicago B	Purdue B	10	0	0	10
Illinois Blue	SIUE	10	0	10	20
Notre Dame	Illinois Orange	0	0	10	10
Bristol	Warwick A	0	0	10	10
Cambridge A	Cambridge B	10	0	10	20
LSE A	Imperial A	10	0	10	20
Southampton	Warwick B	10	0	10	20
Imperial B	Warwick C	10	0	10	20
North Carolina A	North Carolina B	10	0	10	20
Virginia Tech B	Virginia Tech A	10	0	0	10
Virginia Tech C	South Carolina	10	0	0	10
Squidward Community College	WashU	10	0	10	20
Old and Young	ASU->Stanford->ASU pipeline	10	0	10	20
Madmen and Specialists	Paddington in Peru (2024)	10	0	0	10
Social credit go vroom	The cult of SGA	10	0	10	20
In the Mood for Buzz	Toyota Tundra Turbos — Twisting Truths - Tackling Trivia - Taming Titans	10	0	10	20
she limp on my waltz till i feel pathetique	bingy academy	10	0	0	10
Georgia Tech B	Mississippi State	0	10	10	20
Georgia Tech B	Milton	10	10	10	30
Georgia Tech B	Mississippi State	0	10	0	10
Georgia Tech B	Milton	10	10	0	20
Georgia Tech C	Lambert	0	0	10	10
Georgia Tech C	Innovation Academy B	10	0	10	20
Georgia Tech C	Lambert	0	0	0	0
Georgia Tech C	Innovation Academy B	10	0	0	10
Innovation Academy C	Georgia Tech D	0	0	0	0
Innovation Academy B	Innovation Academy A	0	0	0	0
Georgia Tech A	Johns Creek	10	0	0	10
Georgia Tech B	Mississippi State	0	0	10	10
Georgia Tech B	Milton	10	0	10	20
Georgia Tech B	Mississippi State	0	0	0	0
Georgia Tech B	Milton	10	0	0	10
Georgia Tech C	Lambert	0	0	10	10
Georgia Tech C	Innovation Academy B	10	0	10	20
Georgia Tech C	Lambert	0	0	0	0
Georgia Tech C	Innovation Academy B	10	0	0	10