We investigate the hypothesis that within a combination of a 'number concept' plus a 'substantive concept', such as 'eleven animals,' the identity and indistinguishability present on the level of the concepts, i.e., all eleven animals are identical and indistinguishable, gives rise to a statistical structure of the Bose-Einstein type similar to how Bose-Einstein statistics is present for identical and indistinguishable quantum particles. We proceed by identifying evidence for this hypothesis by extracting the statistical data from the World-Wide-Web utilizing the Google Search tool. By using the Kullback-Leibler divergence method, we then compare the obtained distribution with the Maxwell-Boltzmann as well as with the Bose-Einstein distributions and show that the Bose-Einstein's provides a better fit as compared to the Maxwell-Boltzmanns.
翻译：我们调查的假设是,在“数字概念”加上“实质性概念”的结合中,例如“偶数动物”,在概念层次上存在的身份和不可区分性,即所有11只动物都是相同和不可区分的,因此产生了一个Bose-Einstein类型的统计结构,类似于Bose-Einstein对相同和不可区分的量子粒子的统计。我们通过利用Google搜索工具从World-Wide-Web中提取统计数据,为这一假设找出证据。我们通过使用Kullback-Lebel差异法,将所获得的分布与Maxwell-Boltzmann以及Bose-Einstein分布进行比较,并表明Bose-Einstein的分布与Maxwell-Boltzmanns相比更为合适。
相关内容
微信扫码咨询专知VIP会员