No sincere assertion of fact is essentially unaccompanied by feelings of intellectual satisfaction or of a persuasive desire and a sense of personal … - Michael Polanyi

When order is achieved among human beings by allowing them to interact with each other on their own initiative — subject only to the laws which uniformly apply to all of them — we have a system of spontaneous order in society.

The correct reading of <math>\vdash</math> p written down by me in good faith is therefore 'I believe p', or some other words expressing the same fiduciary act.

Whitehead and Russell ... translate <math>\vdash</math> p imples q into the words 'it is asserted that p implies q'. But the phrase 'it is asserted' suggests an impersonal happening of assertions: 'it is asserted' as 'it is raining' or 'it happens'. The value of the assertion sign is lost if we allow ourselves to revert in our verbal translation of it to the muddle of a declaratory sentence which asserts itself or is impersonally asserted by nobody in particular.