You're on the right track, but it's simpler than that: Your engine at idle produces a fixed torque. Shifting to a higher gear reduces the torque applied to the wheels. If the torque at your wheels is great enough to overcome the static coefficient of friction, then the tires slip, so less torque is better.
Of course, the clutch does come into play. Since the engine wants to stall if you start out in a higher gear, you naturally have to let it slip a bit as you're starting out, which further reduces torque at the wheels.
The "Cruise-O-Matic" transmissions in the Fords of the mid-sixties had a shift position specifically for starting out in slippery conditions. All it did was lock the transmission out of first gear.
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Today's Featured Article - Third Brush Generators - by Chris Pratt. While I love straightening sheet metal, cleaning, and painting old tractors, I use every excuse to avoid working on the on the electrics. I find the whole process sheer mystery. I have picked up and attempted to read every auto and farm electrics book with no improvement in the situation. They all seem to start with a chapter entitled "Theory of Electricity". After a few paragraphs I usually close the book and go back to banging out dents. A good friend and I were recently discussing our tractor electrical systems when he stated "I figure it all comes back to applying Ohms Law". At this point
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