Ah jesus, not one of these threads... I've a good mind to start a definitive oil thread after this. Heres an explanation of oil:
Regular mineral, or 'semi-synthetic', oil is fine for your engines. Because of its irregular, natural molecular sizes it is more prone to breaking down over time due to heat and mechanical interaction.
Synthetic oil is pupose made stuff with quite uniform molecular sizing, and will withstand prolonged stressful conditions better than mineral oil. It is also fine at extended use in normal vehicles.
Both oils are fine for your motorcycle, but there is one other thing to consider: the additive package.
Additive packages are designed to help keep your engine clean and buffer against wear. This is through the use of industrial detergent agents and buffering compounds such as molybdenum and zinc derivitives like ZDDP. The accepted level of ZDDP for engines is between 0.1 and 0.2% of the oil volume. You don't want more than 0.2% because you will start fouling plugs and producing unwanted buildup of oil breakdown material in your engine. The role of buffering compounds is important, as they come into play as a 'last line' of defence against metal-to-metal contact in your engine. This is especially important on older, air-cooled machinery and engines under high stress conditions (eg racing).
Earlier oil specifications had higher levels of buffering compounds such as ZDDP, but modern oils have less due to concern it will interfere with catalytic converters. The general guide is the API ratings - a rating of API-SG will contain high anti-wear additives. An SJ will contain less, and SM is current designation and will have less again. Therefore I'd advise to run SG or SH API rating oil in your vehicle.
In conclusion, change your oil regularly and make sure it is of the proper viscosity and designation. This will ensure your engine will perform and last as best it can.
Cheers - boingk
PS: Mineral or synthetic is up to you - it really doesn't make a difference, and I have yet to encounter one case of a clutch that has been destroyed by synthetic or additive-enchanced oil. Generally the wrecked clutch is down to poor or downright negligent maintenance and/or improper or extreme use - this may include poor adjustment, frequent hard use (eg dragstrip), resting of fingers/hand on the lever, or improper shift technique. Either way, if using a mineral oil makes you feel better then thats fine... just make sure you change whatever oil you use often enough.