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that_o shall_v contain_v the_o knowledge_n of_o thing_n as_o real_o exist_v i_o that_o be_o ignorant_a shall_v be_v glad_a to_o learn_v when_o your_o lordship_n shall_v do_v i_o the_o favour_n to_o show_v i_o any_o such_o in_o the_o mean_a time_n there_o be_v no_o reason_n why_o you_o shall_v except_v demonstration_n about_o figure_n and_o number_n from_o demonstration_n about_o other_o subject_n upon_o the_o account_n that_o i_o grant_v that_o those_o idea_n on_o which_o mathematical_a demonstration_n proceed_v be_v whole_o in_o the_o mind_n when_o i_o say_v the_o same_o of_o all_o other_o demonstration_n for_o the_o idea_n that_o other_o demonstration_n proceed_v on_o be_v whole_o in_o the_o mind_n and_o no_o demonstration_n whatsoever_o concern_v thing_n as_o real_o exist_v any_o far_o than_o as_o they_o correspond_v with_o and_o answer_v those_o idea_n in_o the_o mind_n which_o
shall_v not_o have_v incur_v much_o blame_v even_o where_o i_o have_v miss_v it_o this_o i_o perceive_v too_o late_o be_v the_o wrong_a way_n i_o shall_v have_v keep_v myself_o still_o safe_a upon_o the_o reserve_n have_v i_o learn_v this_o wisdom_n of_o thrase_n in_o terence_n and_o resolve_v with_o myself_o hic_fw-la ego_fw-la ero_fw-la post_fw-la principia_fw-la perhaps_o i_o may_v have_v deserve_v the_o commendation_n be_v give_v he_o illuc_fw-la est_fw-la sapere_fw-la ut_fw-la hos_fw-la instruxit_fw-la ipsus_fw-la sibi_fw-la cavit_fw-la loco_fw-la but_o i_o deserve_v to_o be_v sound_o correct_v for_o not_o have_v profit_v by_o read_v so_o much_o as_o this_o come_v to_o but_o to_o return_v to_o your_o accusation_n here_o which_o altogether_o stand_v thus_o 145._o why_o in_o a_o chapter_n of_o reason_n be_v the_o other_o two_o sense_n neglect_v we_o may_v have_v expect_v here_o full_a satisfaction_n as_o to_o the_o principle_n of_o reason_n as_o distinct_a from_o the_o faculty_n but_o the_o author_n of_o the_o essay_n whole_o avoid_v it_o what_o i_o guess_v these_o word_n accuse_v i_o to_o have_v avoid_v i_o think_v i_o have_v show_v already_o that_o i_o do_v not_o avoid_v before_o you_o conclude_v you_o say_v 146._o you_o must_v observe_v that_o i_o prove_v that_o demonstration_n must_v be_v by_o intuition_n in_o a_o extraordinary_a manner_n from_o the_o sense_n of_o the_o word_n he_o that_o will_v be_v at_o the_o pain_n to_o read_v that_o paragraph_n 3._o which_o you_o quote_v for_o it_o will_v see_v that_o i_o do_v not_o prove_v that_o it_o must_v be_v by_o intuition_n because_o it_o be_v call_v demonstration_n but_o that_o it_o be_v call_v demonstration_n because_o it_o be_v by_o intuition_n and_o as_o to_o the_o propriety_n of_o it_o what_o your_o lordship_n say_v in_o the_o follow_a word_n 147._o it_o will_v be_v most_o proper_a for_o ocular_a demonstration_n or_o by_o the_o finger_n will_v not_o hinder_v it_o from_o be_v proper_a also_o in_o mental_a 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reason_n wherein_o we_o see_v nothing_o whereas_o my_o lord_n i_o humble_o conceive_v that_o the_o force_n of_o a_o deduction_n of_o reason_n consist_v in_o this_o that_o in_o each_o step_n of_o it_o we_o see_v what_o a_o connection_n it_o have_v i._n e._n have_v a_o intuition_n of_o the_o certain_a agreement_n or_o disagreement_n of_o the_o idea_n as_o in_o demonstration_n or_o a_o intuition_n or_o perception_n that_o they_o have_v a_o probable_a or_o not_o so_o much_o as_o a_o probable_a connection_n as_o in_o other_o deduction_n of_o reason_n you_o far_o overthrow_v 147._o the_o necessity_n of_o intuitive_a knowledge_n in_o every_o step_n of_o a_o demonstration_n by_o the_o authority_n of_o aristotle_n who_o say_v thing_n that_o be_v self-evident_a can_v be_v demonstrate_v and_o so_o say_v i_o too_o in_o several_a place_n of_o my_o essay_n 2._o when_o your_o lordship_n can_v show_v any_o inconsistency_n between_o these_o two_o proposition_n viz._n that_o intuitive_a knowledge_n be_v necessary_a in_o each_o step_n of_o a_o demonstration_n and_o thing_n that_o be_v self-evident_a can_v be_v demonstrate_v then_o i_o shall_v own_v you_o have_v overthrow_v the_o necessity_n of_o intuition_n in_o every_o step_n of_o a_o demonstration_n by_o reason_n as_o well_o as_o by_o aristotle_n authority_n in_o the_o remainder_n of_o this_o paragraph_n 148-150_a i_o meet_v with_o nothing_o but_o your_o lordship_n find_v fault_n with_o some_o who_o in_o this_o age_n have_v make_v use_n of_o mathematical_a demonstration_n in_o natural_a philosophy_n your_o lordship_n be_v two_o reason_n against_o this_o way_n of_o advance_v knowledge_n upon_o the_o sure_a ground_n of_o mathematical_a demonstration_n be_v these_o 1._o 148._o that_o des_n cartes_n a_o mathematical_a man_n have_v be_v guilty_a of_o mistake_v in_o his_o system_fw-la answer_v when_o mathematical_a man_n will_v build_v system_n upon_o fancy_n and_o not_o upon_o demonstration_n they_o be_v as_o liable_a to_o mistake_v as_o other_o and_o that_o des_fw-mi cartes_n be_v not_o lead_v into_o he_o mistake_v by_o mathematical_a demonstration_n but_o for_o want_v of_o they_o i_o think_v have_v be_v demonstrate_v 9_o by_o some_o of_o those_o mathematician_n who_o seem_v to_o be_v mean_v here_o 2._o your_o second_o argument_n against_o accommodate_v mathematics_n to_o the_o nature_n of_o material_a thing_n be_v 149._o that_o mathematician_n can_v be_v certain_a of_o the_o manner_n and_o degree_n of_o force_n give_v to_o body_n so_o far_o distant_a as_o the_o fix_a star_n nor_o of_o the_o law_n of_o motion_n in_o other_o system_n a_o very_a good_a argument_n why_o they_o shall_v not_o proceed_v demonstrative_o in_o this_o our_o system_n upon_o law_n of_o motion_n observe_v to_o be_v establish_v here_o a_o reason_n that_o may_v persuade_v we_o to_o put_v out_o our_o eye_n for_o fear_v they_o shall_v mislead_v we_o in_o what_o we_o do_v see_v because_o there_o be_v thing_n out_o of_o our_o sight_n it_o be_v great_a pity_n aristotle_n have_v not_o understand_v mathematics_n as_o well_o as_o mr._n newton_n and_o make_v use_v of_o it_o in_o natural_a philosophy_n with_o as_o good_a success_n his_o example_n have_v then_o authorize_v the_o accommodate_v of_o it_o to_o material_a thing_n but_o it_o be_v not_o to_o be_v venture_v by_o a_o man_n of_o this_o age_n to_o go_v out_o of_o the_o method_n which_o aristotle_n have_v prescribe_v and_o which_o your_o lordship_n out_o of_o he_o have_v set_v down_o in_o the_o follow_a page_n 150-153_a as_o that_o which_o shall_v be_v keep_v to_o for_o it_o be_v a_o dangerous_a presumption_n to_o go_v out_o of_o a_o tract_n chalk_v out_o by_o that_o suppose_a dictator_n in_o the_o common_a wealth_n of_o letter_n though_o it_o lead_v he_o to_o the_o eternity_n of_o the_o world_n i_o say_v not_o this_o that_o i_o do_v not_o think_v he_o a_o very_a great_a man_n he_o make_v himself_o so_o by_o not_o keep_v precise_o to_o beat_v tract_n which_o servile_a subjection_n of_o the_o mind_n if_o we_o may_v take_v my_o lord_n bacon_n word_n for_o it_o keep_v the_o little_a knowledge_n the_o world_n have_v from_o grow_v great_a for_o more_o than_o a_o few_o age_n that_o the_o break_v loose_a from_o it_o in_o this_o age_n be_v a_o fault_n be_v not_o direct_o say_v but_o there_o be_v enough_o say_v to_o show_v there_o be_v no_o great_a approbation_n of_o such_o a_o liberty_n mathematics_n in_o gross_a it_o be_v plain_a be_v a_o grievance_n in_o natural_a philosophy_n and_o with_o reason_n for_o mathematical_a proof_n like_o diamond_n be_v hard_a as_o well_o as_o clear_v and_o will_v be_v touch_v with_o nothing_o but_o strict_a reason_v mathematical_a proof_n be_v out_o of_o the_o reach_n of_o topical_a argument_n and_o be_v not_o to_o be_v attack_v by_o the_o equivocal_a use_n of_o word_n or_o declamation_n that_o make_v so_o great_a a_o part_n of_o other_o discourse_n nay_o even_o of_o controversy_n how_o well_o you_o have_v prove_v my_o way_n by_o idea_n 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have_v give_v of_o the_o dispute_n of_o the_o party_n above_o name_v about_o a_o vacuum_n 145._o and_o be_v it_o possible_a to_o imagine_v that_o there_o shall_v be_v a_o self-evident_a connection_n in_o the_o case_n answer_n it_o concern_v not_o i_o to_o examine_v whether_o or_o on_o which_o side_n in_o that_o dispute_n such_o a_o self_n evident_a connection_n be_v or_o be_v not_o possible_a but_o this_o i_o take_v the_o liberty_n to_o say_v that_o wherever_o it_o be_v not_o there_o be_v no_o demonstration_n whether_o it_o be_v the_o cartesian_o or_o the_o gassendists_n that_o fail_v in_o this_o point_n and_o i_o humble_o conceive_v that_o to_o conclude_v from_o any_o one_o fail_v in_o this_o or_o any_o other_o case_n of_o a_o self-evident_a connection_n in_o each_o step_n of_o his_o proof_n that_o therefore_o it_o be_v not_o necessary_a in_o demonstration_n be_v a_o conclusion_n without_o ground_n and_o a_o way_n of_o argue_v that_o prove_v nothing_o in_o the_o next_o paragraph_n 145._o you_o come_v to_o wind_v up_o the_o argument_n which_o you_o have_v be_v so_o long_o upon_o viz._n to_o make_v good_a what_o you_o undertake_v 105._o i_o e._n to_o show_v the_o difference_n of_o my_o method_n of_o certainty_n by_o idea_n and_o the_o method_n of_o certainty_n by_o reason_n in_o answer_n to_o my_o say_n i_o can_v find_v no_o opposition_n between_o they_o which_o opposition_n according_a to_o the_o account_n you_o give_v of_o it_o after_o forty_o page_n spend_v in_o it_o amount_n at_o last_o to_o this_o 1._o that_o 146._o i_o affirm_v that_o general_a principle_n and_o maxim_n of_o reason_n be_v of_o little_a or_o no_o use_n and_o your_o lordship_n say_v they_o be_v of_o very_o great_a use_n and_o the_o only_a proper_a foundation_n of_o certainty_n to_o which_o i_o crave_v leave_n to_o say_v that_o if_o by_o principle_n and_o maxim_n your_o lordship_n mean_v all_o self-evident_a proposition_n our_o way_n be_v even_o in_o this_o part_n the_o same_o for_o as_o you_o know_v may_v lord_n i_o make_v self-evident_a proposition_n necessary_a to_o certainty_n and_o find_v all_o certainty_n only_o in_o they_o if_o by_o principle_n and_o maxim_n you_o mean_v a_o select_a number_n of_o self-evident_a proposition_n distinguish_v from_o the_o rest_n by_o the_o name_n maxim_n which_o be_v the_o sense_n in_o which_o i_o use_v the_o term_n maxim_n in_o my_o essay_n then_o to_o bring_v it_o to_o a_o decision_n which_o of_o we_o two_o in_o this_o point_n be_v in_o the_o right_n it_o will_v be_v necessary_a for_o your_o lordship_n to_o give_v a_o list_n of_o those_o maxim_n and_o then_o to_o show_v that_o a_o man_n can_v be_v certain_a of_o no_o truth_n without_o the_o help_n of_o those_o maxim_n for_o to_o affirm_v maxim_n to_o be_v the_o only_a foundation_n of_o certainty_n and_o yet_o not_o