Inference Over Exclusive and Exhaustive Possibilities
If evidence is simultaneously used to update belief over a set of exclusive and exhaustive propositions, Bayesian inference may be thought of as acting on this belief distribution as a whole.
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Famous quotes containing the words inference, exclusive and/or exhaustive:
“Rules and particular inferences alike are justified by being brought into agreement with each other. A rule is amended if it yields an inference we are unwilling to accept; an inference is rejected if it violates a rule we are unwilling to amend. The process of justification is the delicate one of making mutual adjustments between rules and accepted inferences; and in the agreement achieved lies the only justification needed for either.”
—Nelson Goodman (b. 1906)
“When we try in good faith to believe in materialism, in the exclusive reality of the physical, we are asking our selves to step aside; we are disavowing the very realm where we exist and where all things precious are kept—the realm of emotion and conscience, of memory and intention and sensation.”
—John Updike (b. 1932)
“To give an accurate and exhaustive account of that period would need a far less brilliant pen than mine.”
—Max Beerbohm (1872–1956)