\sˈɒlvɪt͡ʃəɹ ˌambjʊlˈandə͡ʊ], \sˈɒlvɪtʃəɹ ˌambjʊlˈandəʊ], \s_ˈɒ_l_v_ɪ_tʃ_ə_ɹ ˌa_m_b_j_ʊ_l_ˈa_n_d_əʊ]\
Definitions of SOLVITUR AMBULANDO
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[L.] The difficulty "is solved by walking ; " i.e. the theoretical difficulty is got over by actual trial. An allusion to a very old fallacy of Zeno of Elea, mentioned by Aristotle. Achilles, though going ten times as fast as the tortoise, will never overtake him, if he give him a start of 1/10 of the course ; because by the time A. shall have run that 1/10, T. will still be ahead by 1/10 of that 1/10, i.e.1/100; when A. shall have run that 1/100. will be ahead by 1/1000 ; therefore A. will never overtake T. The answer is (1) Solvitur, etc. ; actual trial proves that A. will overtake, and where ; i being = 1/9. (2) Logically, the major premiss, in which it is assumed that the sum of an infinite series is infinite, is false.
By Henry Percy Smith