A 20 deg C rise in temperature would give approximately a 4 psi increase in pressure so if you inflate to 65 psi (normal MTB tyre max pressure) at a 0 deg C ambient temperature then when it warms up to 20 deg C later in the day it will be at ~69 psi. In Theory.
However, the very act of inflating a tyre increases the temperature of the air within the tyre so in reality you'd probably find that if you inflate to 65 at zero ambient and then check again later (at the same ambient temp) that the pressure had decreased. Later when the ambient temp increases the tyre will probably increase in pressure to what you thought it was when you first inflated it.
So, in a nutshell, and IMHO, unless you put your bike in a Sauna after you've inflated the tyres, if you inflate to max pressure at any ambient temp then it'll probably stay at around max pressure. Any tyre that explodes at max pressure is faulty - unless your pressure gauge was faulty in the first place