{'fraction_non_alphanumeric': 0.021691973969631236, 'fraction_numerical': 0.0, 'mean_word_length': 4.848101265822785, '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}}
Chance as a new foundation for logic

With this paper I start the investigation of the following claim: logic (and mathematics) is reliable because it is rooted on the laws of chance. To show this I introduce a stochastic semantics for logic where propositions are interpreted into sets of observables (i.e. sets of trajectories of suitable stochastic processes) whose elements describe some symmetries of chance. A validity theorem is proved for this semantic.