Logical thinking

Logicism--Mathematics can be reduced to logic and mathematics can be done by logical reasoning
(the question is what is logic and what islogical reasoning)

Intuitionism--Mathematics as the constructive mental activities by human.
(such as??)

Formalism--a type of critism on mathematics that emphasize on thr form rather than its context.
(any example??)

these are what i need to learn this semester on Logic Mathematics. Initially i tot this is a very easy subject to take as just do steps and proofs in mathematics but it has many history bout this...ism. So irritating. Till now i haven get what it is and i monday is going to exam.*dying* Any experts can send email as an aid????

in many senses human cant be logic as well...they just do what is in their mind..(izit this that call intuitionism??)It is hard for someone to be logic in every cases. Ya...we learn rational thinking from we were primary schools in moral lesson. However how many people practising it? I swear none. Every act done drove by heart emotion but not by mind. Thats why so many unwilling things happen in our daily life. How good we can can manage our EQ????