Mathematics Is Distinguished From All Other Sciences

The Consciousness Of A General Idea Has A Certain "unity Of The Ego" In It, Which Is Identical When It Passes From One Mind To Another. It Is, Therefore, Quite Analogous To A Person, And Indeed, A Person Is Only A Particular Kind Of General Idea.

Mere Imagination Would Indeed Be Mere Trifling; Only No Imagination Is Mere .

Upon This First, And In One Sense This Sole, Rule Of Reason, That In Order To Learn You Must Desire To Learn, And In So Desiring Not Be Satisfied With What You Already Incline To Think, There Follows One Corollary Which Itself Deserves To Be Inscribed Upon Every Wall Of The City Of Philosophy: Do Not Block The Way Of Inquiry.

We Should Chiefly Depend Not Upon That Department Of The Soul Which Is Most Superficial And Fallible (our Reason), But Upon That Department That Is Deep And Sure, Which Is Instinct.

The Real, Then, Is That Which, Sooner Or Later, Information And Reasoning Would Finally Result In, And Which Is Therefore Independent Of The Vagaries Of Me And You. Thus, The Very Origin Of The Conception Of Reality Shows That This Conception Essentially Involves The Notion Of A Community, Without Definite Limits, And Capable Of A Definite Increase Of Knowledge.