Solve this paradox - Page 2

Way to go Gemini! A stranger hun? A historian once said that every year we are invaded by hunreds of thousands of ravenous strangers.

The problem with Xxeyes paradox known as Zeno's Paradox or Achillles and the Hare is we confuse our thinking of Time as duration in terms of space. But time is not added or subtractted in relation to distance or space it is independednt of it. There is no now plus now plus one. So lets say now does not exist and there is only the future moving into the past, with St. Augustine. If we measure the past, Achilles will take off and t1, t1, t3 end out race the hare. Because t1-t3 measure a set of time closing the distance based on mass and acceleration over a duration not split into bits and infinitly regressed.

THink4yourself hasn't caught on to this idea of infinite regresssion or the viscious regress nor have you, sir, givien a clear example with you math formula.
"in some cases... but not in the general" "it works.. .but not with the wrong assumption." I fail to see where the discusion of sets that contain and don't contain themselves and exhibit Russels Paradox are based on ASSumptions. YOu might want to think about whether your example is relevant, let alone described thouroughly. But nice try with the think know distintion from analytic philosophy. In fact you solve the whole thing using this method. Billy can think the exam will be whatever day of the week he wants, but in fact he can't know untill he goes in and takes the test. (Fri- no test). Solves a lot of things, think4yourself.

The math formula shows that infinitely many positive bits can add to a finite quantity. If you realize this, you know that chopping the path of a particle into infinitely many moments, with each happening a greater than zero amount of time later can still add to a finite amount of time. Thus the conclusion that it will "never happen" is false. It will happen after an infinitely many 'moments', but that whole infinity can pass in seconds.

With Russell's Paradox, my explanation wasn't too clear. I was basically stating that I don't think there is such a thing as a set of all sets that are not members of themselves. If that is the case, you can't ask any questions about it and expect meaningful answers. I hoped the formulas would clarify why I think this. It's because in math (a simpler reality) the assumption that something can refer to itself is faulty at times. Yet Russell's Paradox is based on this like it's something we can count on.

The reason I don't think Friday can be the day of the exam is because Billy can base his knowledge of a Friday exam on what his teacher told him: the exam will be next week. However, on Wednesday night he has no basis for truly *knowing* the exam will be on Thursday. He attempts to do this by saying it *can't* be on Friday, so it *must* be on Thursday. This however is a contradiction. He can't know the exam will be on Thursday AND Friday, without bullshitting somewhere along the way. If he *knows* on Wednesday night that the exam is tomorrow, he also *knows* it won't be on Friday. But this contradicts his basis for picking Thursday as the day, so he really doesn't know Thursday is the day, he only thinks it.

There was one problem I had with your solution to the paradox. You assumed the decision about which day the test would be one will be made before Monday. This is a problem, because a kid who gave no thought to when the exam will be may suddenly realize on Thursday night that it's tomorrow, thus the teacher didn't surprise him. The teacher needs to take this into account to ensure the surprise factor. However on no previous day can anyone realize such a thing. Even though Billy may have guessed a Wednesday exam day and been wrong, another student on Thursday night really does know the exam is tomorrow, without contradicting himself.

Re: RuleofWar's riddle about the man and woman on the freeway.

Surely the fact that the doors were still locked and undamaged does not mean that the woman did not let a stranger in, who subsequently killed her?

For the very first paradox.......

You said that if there isn't a surprise exam by Thursday than it must be tomorrow (meaning friday).....but immediately afterwards you said that it can't be on friday?.....Why's that?...and is that the flaw?

A man comes home to find his wife hanging from the cieling, with a rope tied around her neck. She was dead...There was a big puddle of water under where she was hanging...how did she die?

As for the father son one...the doctor was the grandfather of the son, the son was the father of the son...the doctor the father of the sons' mentioned father...

She was electrocuted.

... Did she stand on a block of ice to hang herself?

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ya take your bowling ball out into the yard & holding it over the grass you let it fall. It accelerates toward the soft earth, a positive value. When it strikes the ground it stops its motion, a negative value which ends with 0 acceleration.
Oh, they have found those imaginary number useful in fields of physics as well.

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Quote: everything in physics is approximate.

As is everything else in the world. We can think that we know something, when something new comes along and crashes all of our beliefs into disbelief.

Indeed Socrates was the best person to sum it up.

True knowledge exists in knowing that you know nothing.

Well sleeping I have been waiting to hear from this thread.
Relatively speaking you are correct in believing the earth is the center of rotation of the solar system but the application of astology computes positions using the sun then relates it to the other planets because it is less complicated. Yes the earth is in constant accelerated motion as is the galaxy, etc.
But using the reference of the earth to most applications is gerenally less complicated & close enough for most of our purposes?
Oh, funny thing the math used in today's physics was produced by mathematicians a few centuries ago but as it didn't have any real world uses, so mathematicians accepted it as a logical construct.

haha, I love these. All of them are making me think. My favorite is the test one. Which I have absolutely no idea about. The only thing I can say about it is that since the professor said there will be a surprise exam next week, it is no longer a surprise. As long as you study for the test each day you should be fine. Silly students. XD

As of the moment that the teacher tells the class there will be an exam next week the time of the exam is a surprise.
case closed.
Billy might think himself clever that no such exam could take place is embarrassed when he sits down on Monday morning to the exam that the rest of the class have spent the weekend revising.