"New Waves in Philosophy of Mathematics" is a scholarly book written by thirteen promising young researchers. This work presents a variety of perspectives on the philosophy of mathematics, with the authors expressing their views on which philosophical approaches are considered valid in mathematics. The book addresses current trends in the philosophy of mathematics, including a growing interest in mathematical practice, a reevaluation of the existing canon, and inspiration from philosophical logic. The discussions in this book provide valuable insights into the future direction of philosophical engagement with mathematical concepts and practices.