Dichotomy Paradox

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Zeno: sebelum bisa menempuh jarak penuh, kamu harus menempuh setengahnya. Sebelum setengah, seperempatnya. Sebelum seperempat, seperdelapannya. Ini menghasilkan regres tak terbatas ke belakang — kamu tidak pernah bisa memulai gerakan, apalagi menyelesaikannya.

Versi ini berbeda dari Achilles-Tortoise: di sana regresnya ke depan (tak terbatas langkah setelah mulai), di sini ke belakang (tak terbatas langkah sebelum bisa mulai). Secara matematis, deret 1/2 + 1/4 + 1/8 + ... = 1 (konvergen). Namun pertanyaan filosofis tetap: apakah gerakan kontinu secara fisik terdiri dari tak terbatas langkah diskrit yang benar-benar terjadi?

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