a set theory analysis of belief, knowledge and reality
TRANSCRIPT
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A set theory analysis of belief, knowledge and reality
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Belief
Acceptance of a proposition as trueNot subject to willJustification may be flawedDegrees of certainty
“Believe in” vs. “Believe that”“Believe in” is shorthand, imprecise speech
(implicature) for a more complex “Believe that”
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Knowledge
Belief to a high degree of certaintyAbsolute certainty is a generally useless
conceptSubjective and vague delineation between
believe and knowJustified True Belief (JTB) is flawedKnowledge must be a subset of belief
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Real
Proposition is actually trueVerificationManifestation
Reality thought experimentsMatrix, Brain-in-a-vat, New Evil Demon
○ Forced to deal with this reality until proven otherwise
Shared perception
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Logical “A” and “⌐A”
A
⌐A
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“X exists”
X exists
X does not exist
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“X committed crime”
X committed
X did not commit
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What does “⌐A” include?
A
⌐A Z
R
E
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What does “⌐A” include?
Alphabet
⌐Alphabet
Z
R
E
A
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Believe vs. Real
Belief has no bearing on “real” statusReal value has 2 possibilitiesBelief can reject both (noncommittal)Default position expressed in terms of “A”
and not “⌐A”
“Believe” is the propositionBelieve guilty proposition has two positionsBelieve not guilty proposition also has two
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Believe Guilty?
Believe Guilty
Believe Not Guilty
Believe Innocent
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Knowledge as a subset of Belief Degree of certainty
Subjective, yet consensus is required for shared understanding
Still qualifies as “Belief”
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Knowledge as a subset of Belief
Believe
Know
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Agnosticism and knowledge Rejection of “gnosticism”
Rejection of spiritual/mystical knowledgeGeneral rejection of knowledge
○ Seems dependent on absolute certaintyUnknowable
○ Unfounded assertionCurrently unknown
○ Still dependent on absolute certainty or a degree of certainty that isn’t consistent with usage of “knowledge”
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Graphic Agnosticism
Agnostic (knowledge)
Gnostic
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Agnosticism as non-belief Rejects both belief position
Appears as “middle ground”Label is misused, but accepted in the
colloquial sense
What question is answered by the middle ground?
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Agnosticism as non-belief
Agnostic (Belief)
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Not guilty and Not innocent?
Guilty Innocent
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Why does belief matter?
Beliefs inform actions Beliefs inform other beliefs
Worldview understanding is shaped based on what we already accept and understand
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What do I believe? Common reality
A matter of practicality Science, evidence and reason as a path to
understanding Decision-making skills based on reality Exploration of possibilities leads to
understanding of plausibility Nothing is sacred Some ideas are ridiculous Beliefs matter
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