Why doesn't my kenmore dishwasher model number 665.13763k601 fill up with water?

SOURCE: Kenmore dishwasher limited edition model 665

Anyone know anything about heating elements, mine won't dry the dishes, thanks

SOURCE: Kenmore dishwasher drainage problems

I have the same model -- and USED to have the same problem! We tried lots of things (bleach in the water, etc.). . . . and finally discovered it was a simple, standard concern. The drain tube from the dishwasher to the sink pipe was clogged with grease (looked like lard).
The way i knew it was clogged is that I disconnected the tube from the sink pipe, and tried to blow through the tube. It wouldn't let any air get through. 
So once the dishwasher was empty of water (i removed the tube, drained into a big pan, and bailed a lot), we disconnected both ends of the tube. 
With the tube in a trash bucket, I blew from one end (cleaned it off a bit first), and the "lard" came out. Drains beautifully now -- and did not require a plumber.
If you do this, be SURE you place the tube back ON the fittings EXACTLY in the same position and shape as before. This makes there are no new kinks or bends introduced into your drain tube.
Hope this helps.
E-mail if further questions!
Jonathan

SOURCE: KENMORE DISHWASHER WATER DOESN'T SPRAY.

If there's no water entering your dishwasher, check these:

Water-inlet valve
Float switch
Water-inlet valve
The water-inlet valve lets water enter the machine. If this valve is defective, you need to completely
replace it. It's usually located behind the lower access panel on the left or right side. It's the device
with the main water line (usually copper) from the house, a rubber tube to the dishwasher, and two
wires attached to it.

Float switch
The float switch is a small electrical switch that's located right below the dishwasher "floor."
Above the switch, on the inside of the dishwasher, is a plastic cylinder that floats up as water fills
the dishwasher. If this switch is defective, or if the plastic float gets caught or trapped in the raised
position, the water can't enter the dishwasher. If the float switch is defective, you need to replace it.

SOURCE: Kenmore 665.1736 fills with water but does not spray

Take thre drain hose off from disposal. Pour hot water down the hose until full. Cover end with hand. Press cancel/drain while holding hand over hose - over bucket. That may unstick checkvalve balls and or fix air lock. I have to do that every 6 months or so. Started happening 1 month out of warranty. Go figure. Not a fix - just a work-around...

SOURCE: Dishwasher will not fill

EE,
The most likely culprit in a "no fill" scenario (especially after you've replaced the valve) is the Overflow preventer. It's designed to kill power to the valve if the water level gets too high. It does this by floating up as the water level rises.
Open the dishwasher door and remove the lower rack. You'll see it in the tub on the left side (the round thing that looks like a little hat). If it's stuck in the up (overflow) position, you won't get water. Raise and lower this device a few times... you should hear the "click click click" of the kill switch. Now just make sure it's in full down (ready for water) position and fire up the dishwasher. You should get water now.

If this helped, please rate this solution as "FixYa". BUT if this didn't fix the problem, don't rate it just yet. Write back and we'll go a little deeper into a diagnosis, OK?

SG