Title
On the Idea of an Investigation into the Foundations of Mathematics or Psychology in Wittgenstein
Conference Level
Graduate
Location
University of Windsor
Start Date
28-3-2015 4:00 PM
End Date
28-3-2015 4:30 PM
Abstract
Wittgenstein said of Kierkegaard that he was the “single most profound philosopher of the 19th century”; but what accounts for Wittgenstein’s estimation of Kierkegaard’s work? I argue that Kierkegaard, who was a student of ancient philosophy, synthesized Socratic and Aristotelian concepts into a conception of philosophical inquiry that provided the basis for a Socratic-style engagement with what Kierkegaard calls “the present age”. This allows Kierkegaard to engage Socratically with the present age’s assumptions, but with a kind of categorial sophistication that goes beyond traditional Socratic inquiry. This Kierkegaardian model, I argue, provides the template for what Wittgenstein comes to call “philosophical foundations of X”, where X is some non-philosophical enterprise, such as psychology or mathematics.
But didn’t Wittgenstein’s later work constitute a fundamental break with the philosophical tradition altogether? As G. H. von Wright famously remarks, “the author of Philosophical Investigations has no ancestors in philosophy”. In fact, I argue that if a reasonable adjustment is made in the understanding of Wittgenstein’s grammatical investigation, then the Wittgensteinian grammatical investigation can be seen to have more in common with certain Socratic and Aristotelian paradigms in ancient philosophy than we might otherwise assume. At that point, we can appreciate how the work of Søren Kierkegaard represents a significant conceptual and historical transitional link between these two periods.
According to Kierkegaard, it is a central Socratic idea that anyone, no matter who they are, always already operates with some philosophical understanding of the things with which they are especially occupied in life. And scientists are no exception to this rule. In fact, scientists can be expected to operate with some formal-causal and ontological-categorial (i.e., philosophical) understanding of their subject, as well as an understanding of how the basic domains and topics that preoccupy them fit into the larger scheme of things: however, in light of the division of labor, scientists will not necessarily be aware of the extent to which they are already committed to a distinctively philosophical understanding of things. Making this philosophical understanding explicit and scrutinizing it may in turn have an impact on the ways in which scientists go on to frame their scientific research. I suggest that in light of the above genealogy of Wittgenstein’s concept of “philosophical foundations of X”, Wittgenstein can be regarded as a descendant of this Socratic tradition of philosophy, in which philosophy is occasioned by a reflection on the philosophical foundations of non-philosophical discourse.
On the Idea of an Investigation into the Foundations of Mathematics or Psychology in Wittgenstein
University of Windsor
Wittgenstein said of Kierkegaard that he was the “single most profound philosopher of the 19th century”; but what accounts for Wittgenstein’s estimation of Kierkegaard’s work? I argue that Kierkegaard, who was a student of ancient philosophy, synthesized Socratic and Aristotelian concepts into a conception of philosophical inquiry that provided the basis for a Socratic-style engagement with what Kierkegaard calls “the present age”. This allows Kierkegaard to engage Socratically with the present age’s assumptions, but with a kind of categorial sophistication that goes beyond traditional Socratic inquiry. This Kierkegaardian model, I argue, provides the template for what Wittgenstein comes to call “philosophical foundations of X”, where X is some non-philosophical enterprise, such as psychology or mathematics.
But didn’t Wittgenstein’s later work constitute a fundamental break with the philosophical tradition altogether? As G. H. von Wright famously remarks, “the author of Philosophical Investigations has no ancestors in philosophy”. In fact, I argue that if a reasonable adjustment is made in the understanding of Wittgenstein’s grammatical investigation, then the Wittgensteinian grammatical investigation can be seen to have more in common with certain Socratic and Aristotelian paradigms in ancient philosophy than we might otherwise assume. At that point, we can appreciate how the work of Søren Kierkegaard represents a significant conceptual and historical transitional link between these two periods.
According to Kierkegaard, it is a central Socratic idea that anyone, no matter who they are, always already operates with some philosophical understanding of the things with which they are especially occupied in life. And scientists are no exception to this rule. In fact, scientists can be expected to operate with some formal-causal and ontological-categorial (i.e., philosophical) understanding of their subject, as well as an understanding of how the basic domains and topics that preoccupy them fit into the larger scheme of things: however, in light of the division of labor, scientists will not necessarily be aware of the extent to which they are already committed to a distinctively philosophical understanding of things. Making this philosophical understanding explicit and scrutinizing it may in turn have an impact on the ways in which scientists go on to frame their scientific research. I suggest that in light of the above genealogy of Wittgenstein’s concept of “philosophical foundations of X”, Wittgenstein can be regarded as a descendant of this Socratic tradition of philosophy, in which philosophy is occasioned by a reflection on the philosophical foundations of non-philosophical discourse.