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Paul Fischer's avatar

So here’s how I see it. Probabilities are a way to express our beliefs about how likely something is to happen, given our current knowledge. This makes them conditional. In any experiment, observation, or whatever we endeavor to measure we inject our beliefs.

Frieda Spyder's avatar

"Queer theory invites us to rethink what we think is normal and is the act of disrupting the normalization of sexuality and gender,” said Dubeau. “The goal is to create new methods of repurposing mathematics problems, methods of teaching and concentrating on the application of mathematics in a social justice context. We need people to see themselves in math.”"

"Of the random Canadians polled, 11 per cent identified as Queer."

agent Rogelier than you's avatar

A source tells me that of thousands of random Americans polled, 99 per cent identified Canadians as Queer.

(Sorry, I couldn't resist the temptation)

John Kieffer, MD MPH's avatar

For some reason this lecture was particularly clarifying. Thank you.

William M Briggs's avatar

Thanks for following along.

ScuzzaMan's avatar

When probability reaches unity, it is no longer probability, it is certainty?

When probability reaches zero, it is no longer probability, it is impossibility?

So probability is stated as: 0 < P < 1, but can never be P = 0, or P = 1?

"THERE IS NO SUCH THING AS UNCONDITIONAL PROBABILITY."

This sounds like you're saying that the probability of an unconditional probability is equal to zero.

William M Briggs's avatar

Not quite.

Pr(A|B) =1 means the probability of A given B is 1, i.e. it is certain assuming B. Likewise if false. We haven't yet proven anything for numbers in between, but it will be the obvious, e.g. Pr(A|B) = 0.5, or even Pr(A|B) in (0,1).

I say you cannot write down any probability like this Pr(A) = whatever. As I could write down, say, your height.

ScuzzaMan's avatar

If I may ask, what is the "B" part of the probability statement for the assertion that "There is not such thing as an unconditional propability"? (assuming that is the "A" part?)

ScuzzaMan's avatar

Ah. Thanks for the clarification.

William M Briggs's avatar

Any A and B you like: they are propositions, however complex.