{
    "processed_data": ["Although mathematics is extensively used for modeling phenomena, the fundamental truths of mathematics are independent from any scientific experimentation",
    "This led to split mathematics into pure mathematics and applied mathematics, the latter being often considered as having a lower value among mathematical purists",
    "Many of the theories developed for applications were found interesting from the point of view of pure mathematics, and many results of pure mathematics were shown to have applications outside mathematics; in turn, the study of these applications may give new insights on the \"pure theory\"",
    "The Mathematics Subject Classification has a section for \"general applied mathematics\" but does not mention \"pure mathematics\"",
    "[g] Rigorous reasoning is not specific to mathematics, but, in mathematics, the standard of rigor is much higher than elsewhere"]
}