If you graph a function and another function that isn't revealed to be the original function's inverse, and neither of these two functions touches the vertical line test, how do you verify if the second function is indeed the original function's inverse?

Eg. f(x)=x-4 and g(x)=x+4, if you graph these two they don't touch the vertical line test, but they are indeed inverses. How would you graphically verify this?

Set x=g(y)
Simpify f(x) and if you end up with just x then it is an inverse
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Gangnam Hong Kong Movie Star Style

:troll: marriage proposal

Novio cae y muere en propuesta de matrimonio

Can Jesus microwave a burrito so hot that he himself cannot eat it?


God and Omnipotence
The paradox of the stone, as presented by Wade Savage:
1. Either God can create a stone that God cannot lift, or God cannot create a stone that God cannot lift – there are no other possibilities.
2. If God can create a stone that God cannot lift, then there is at least one thing that God cannot do (i.e., lift that stone).
3. If God cannot create a stone that God cannot lift, then there is at least one thing that God cannot do (i.e., create that stone).
4. From the combination of 1, 2 and 3, it follows that there is at least one thing that God cannot do.
5. If God is omnipotent, then God can do anything.
6. Therefore, God is not omnipotent.

What this argument apparently shows is that omnipotence is impossible (or, that the notion of omnipotence is incoherent). Thus, God cannot be omnipotent (as nothing can be).

Suggested solutions to the paradox St. Thomas Aquinas (1225-1274):
Aquinas defines as “absolutely impossible” any thing where the “predicate is altogether incompatible with the subject” (his example: “man is an ***” (in the non-metaphorical sense)). With this in mind:
Whatever implies contradiction does not come within the scope of divine omnipotence, because it cannot have the aspect of possibility. Hence it is more appropriate to say that such things cannot be done, than that God cannot do them.

That is, to be omnipotent involves being able to do all things that are possible. For example, it is not considered a limit to my powers that I cannot draw a square circle. That’s impossible, so it’s no failing that I can’t do it – it cannot be done.

BUT: surely I can make a thing that is too heavy for me to lift, so that task is not impossible, so if God can’t do it, that really is a limit to his power.

George Mavrodes (1926-):
Mavrodes responds that although “a stone too heavy for Simon Cushing to lift” is not a contradictory notion, “a stone too heavy for an omnipotent being to lift” is a contradictory notion.
Mavrodes’s argument in full:
1. Either God is omnipotent or he is not.
2. If God is not omnipotent, then the fact that he cannot do something (either make or lift the stone) is unsurprising.
3. If God is omnipotent, then, by definition, there necessarily cannot be a stone that is too heavy for him to lift (otherwise he would not be omnipotent).
4. If there necessarily cannot be such a stone, then it is an impossibility.
5. By Aquinas’s reasoning, even an omnipotent being cannot perform impossibilities.
6. Therefore, by definition, inability to create a stone too heavy for one to lift is no barrier to being omnipotent. (In fact, only non-omnipotent beings can create objects too heavy for themselves to lift.)

BUT: both Aquinas and Mavrodes assume that God cannot do impossible things. Is this right? Descartes, for one, thought not. Descartes believed God could make 2+2=5. Why? Because otherwise you are suggesting that God is bound by the laws of logic. But if God created the laws of logic, why should he be bound by them? Couldn’t he have made them differently?

Harry Frankfurt:
However, if we assume that God can do impossible things, then God can create a stone too heavy for him to lift (which is supposedly impossible). Furthermore, if he can do that, then he can go one stage further and lift that stone (also impossible – but what’s the difference between doing one impossible thing and doing two?)
BUT: doesn’t that mean that the stone he created was not a stone too heavy for him to lift, and that we’re back to the situation of him being unable to create such a stone? Not according to Frankfurt:
If an omnipotent being can do what is logically impossible, then he can not only create situations which he cannot handle but also, since he is not bound by the limits of consistency, he can handle situations which he cannot handle. [256]
That doesn’t seem to make sense – but that’s because “sense” is limited to logical possibility.

To recap:
There are two options for an omnipotent being:
1. Omnipotence means the ability to everything that is logically possible but nothing that is logically impossible. In this case, by definition, an omnipotent being can lift any rock, and therefore “a rock too heavy for an omnipotent being to lift” is an impossibility. In that case, however, inability to create such a rock is no barrier to omnipotence, because no omnipotent being can do the impossible.
HOWEVER: why limit omnipotence to logical possibility?
2. Omnipotence includes the ability to logically impossible things.
In this case (says Frankfurt) an omnipotent being could create and lift a stone too heavy for him to lift, both of which are impossible, but that’s no problem for somebody omnipotent!
HOWEVER: taking this option removes the discussion from one that makes sense to humans, because it allows God both to exist and not exist at the same time, or to sin and be good at the same time.

Can God sin?
Similar problem: if God can sin, then he is not wholly good. But if he can’t sin, then he is not omnipotent.

Suggested solutions
Aquinas: Two options
Either: it’s true to say “If God wants he could sin”, which allows that he can sin. But he won’t ever because (by his nature) he will never want to.
Or: God can do absolutely anything, rape, murder, whatever, but by definition, because he defines what is good, if he did it it would be good. (This is essentially the Divine Command Theory – or perhaps, the Divine Action Theory.)

William of Ockham:
Again, assume that an omnipotent being can only do what is possible. Also assume that the definition of “sin” is “whatever is opposed to God’s will”. To sin, God would have to will what is opposed to his will, which is impossible. Thus, the fact that he cannot sin doesn’t prove he’s not omnipotent.

What are your Tim Horton's bagel combinations? I usually get the dried tomato bagel with regular cream cheese but have been wanting to try something different. Anyone try the caramel apple one?

Onion with herb and garlic cream cheese.

Add a coffee and I call it the Death Breath Combo.

Anyone know which car this is?

http://img.photobucket.com/albums/v2...10109990_n.jpg

Thanks in advance!

I dunno if any of you know. Today is the first time I took the skytrain from the airport. It costs $7.50 to buy a ticket there, WTF?

So heads up to you all.

PS: Drive, its cheaper.

That's why you buy a packet of bus tickets at 711 in the airport to avoid paying the extra 5 dollar surcharge....

Man behind behind 'Jailbait,' 'Rape Jokes' posts on Reddit was recently identified

Man behind 'Jailbait' posts exposed, loses job - CNN.com

^ Although I don't agree with Michael Brutsch popularizing the JB forum, but I can understand where he is coming from, getting thrills from meaningless internet 'likes'. Those news people were so mad because they have daughters but they're fucking retarded. If they doesn't want their daughter on the internet with her underwear then you fucking tell your daughter not to take pictures like that. Who told her to send it around and post it online? Idiots.

Think Twice Before Foursquaring That Stranger, Say AIDS Ads | Adweek

Pontiac Solstice?
http://photo.netcarshow.com/Pontiac-...7_photo_05.jpg

:ahwow: you clever mother fucker! was trying to figure that out yesterday

Haha it was a lucky guess. I figured it would be a two seater with no cupholders because when I had my s2000 I'd always get a drink tray too. That narrows the list of possibilities a lot and I know what the interiors of most modern, mainstream two seaters look like so that narrowed it even more.

i tried figuring it out too but all i could think about was starbucks ;)


i thought it would be a truck/suv dash though

Anyone know any companies that will transport a car from kamloops to surrey

anyone of you RSers work for or perhaps own a company that can clean sewers/drainage pipes? traps got full and now there's sludge in the pipes.

Almost never bus, and when I do its usually on Sundays when I can bus for free.

ever start a car project then realize its way too big to handle by yourself?


i want to set my car ablaze right now.

Give me ur old avatar back!!