Intelligence Test Scores for ChatBots
									By Julius.Lin@AITek.com	9/28/2024
	Test Case#		Meta.AI		ChatGPT		Gemini		Test Case Name	Answer		Perplexity.AI		Liner		Claude 3.5
	1		0.2		0.4	2nd time right	0		Forgotten-worry city	consistent
	2		1		1		1		Some are happy	inconsistent
	3		0.25	2nd time right	0.25		0.25		God	inconsistent argument
	4		1		1		1		fishes in water.(easiest)	invalid argument
	5		1		0		0		wealthy thief	invalid argument
	6	A	0.9		0.9		0.9		sociologist's observation 3 sets	Partial Valid
		B	1		1		1			absolutely Invalid
	7	A	1		1		0		Buddha 4 sets	invalid
		B	0.9		0.9		0.9			SOUND VALID
	8		0		0		0		ecologist 5 sets	valid argument
			none of the LLM can tackle 5 sets problem correctly. So I stop here						see details at 'Answer Collation'
			72.50%		64.50%		50.50%		#'Answers Collation'!A1
						wait to test DeepMind's Differentiable Reasoning system
	The author is the first one to break the limitation of visual computation of sets into hyper-sets computation without mathematical limitation back in
	1984(presented) ~1987(published), for the goal of processing very complicate real-world problems beyond human comprehension. such as:
	ex1. medTech areas, where many symptons have interwinded relationship to some diseases and how do we deduct, induct and abduct them to find
		root causes and cures ; or			#'body health'!A1
	ex2. there are tens, hundreds or even thousands of status of parameters come in to be processed to reach our goals defined or self optimized.
		e.g. in A) economy			#'stock market'!A1
		and B) battle fields
		or C) many other disciplines,
	Some problems are like these exercises I gave to you with 0 :∅ or 1:Ǝ binary values, some are with degree of truth like fuzzy logic,
	and some are stochastic like Bayesian inference for the challenges of the neuro-symbolic AI.
	* Venn-Lin method:		Logical Deduction and Method of Calculus in Venn Diagram					1987	archive
	* 林智勇 Lin, J. Y.		邏輯推理與范恩圖解之計算法					1987
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