{'fraction_non_alphanumeric': 0.015492957746478873, 'fraction_numerical': 0.0, 'mean_word_length': 4.5984251968503935, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Quantum Physics, the Identity of Indiscernibles, and Some Unanswered Questions

A series of papers in Philosophy of Science have debated whether quantum physics shows there to be something wrong with Leibniz's principle that things which agree in all their properties and relations are identical. To begin with, I think we can learn something by considering an example somewhat different from the one on which the previous authors have focused. You and I hold the two ends of a rope and at the same moment each of us gives his respective end a little shake. This produces two waves which travel away from each of us, merge in the middle in a single bump, pass through each other, and continue on down the rope: