For different reasons, Husserl's original, thought-provoking ideas
on the philosophy of logic and mathematics have been ignored,
misunderstood, even despised, by analytic philosophers and
phenomenologists alike, who have been content to barricade
themselves behind walls of ideological prejudices. Yet, for several
decades, Husserl was almost continuously in close professional and
personal contact with those who created, reshaped and
revolutionized 20th century philosophy of mathematics, logic,
science and language in both the analytic and phenomenological
schools, people whom those other makers of 20th century philosophy,
Russell, Frege, Wittgenstein and their followers, rarely, if ever,
met. Independently of them, Husserl offered alternatives to the
well-trodden paths of logicism, nominalism, formalism and
intuitionism. He presented a well-articulated, thoroughly argued
case for logic as an objective science, but was not philosophically
naive to the point of not seeing the role of subjectivity in
shaping the sense of the reality facing objective science. Given
the preeminent role that philosophy of logic and philosophy of
mathematics have played in transforming the way philosophy has been
done since Husserl's time, and given the depth of his insights and
his obvious expertise in those fields, his ideas need to be
integrated into present-day, mainstream philosophy. Here,
philosopher Claire Ortiz Hill and mathematician-philosopher Jairo
da Silva offer a wealth of interesting insights intended to subvert
the many mistaken idees recues about the development of Husserl's
thought and reestablish broken ties between it and philosophy now.
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