all worthwhile systems of logic are incomplete

LOG'IC, noun [Latin id; Gr. from reason, to speak.] Reason (conflict between truth vs false) is based on consent to believe in suggested words; while to consent to suggestion represents the ignorance towards free will of evaluation. ALL worth is predefined and offered through flow; so that the form within can evaluate it by choice of action to sustain form within flow.

SYS'TEM, noun [Latin systema; Gr. to set.] Flow sets forms into itself; ALL sets ONE into itself; potentiality sets potential into itself. Energy represents the system...that sets ALL within itself for self sustenance.

That is, there are true statements which exist within any given system which the system itself is incapable of proving.

True and false are based on the choice within form to ignore flow; they are upheld within form as beliefs, and whichever side ONE chooses to believe/not believe; a conflict with other ONEs emerges (reason).

As for proof...that's not the system (ALL) incapable to define itself; it's the processed form within (ONE) struggling to comprehend their own limitations. PROVE, verb transitive prov. [Latin probo.] - "to try". ALL is a process (energy in motion); the ONEs within are processed (form within flow); hence the need to "try" to sustain themselves (form) through adaptation (by choice of action) to motion (flow).

conceptions of religion

RELIGION, noun relij'on. (Latin religio, from religo, to bind anew). The "old" bond between flow and form is self sustenance; the "new" bond between form and form is ignorance of self sustenance within flow.

Motion binds momentum; religion is suggested within momentum and requires consent towards the ignorance of motion (belief aka mental stagnation towards need for adaptation).