Combinatorics in general and the theory of expander graphs, in particular, have been fruitful areas of  interaction of pure and applied mathematics. In recent years a "high dimensional" theory has been emerged. This theory beside its intellectual interest has also a great potential for various applications in mathematics and computer science. This theory calls for a cooperation of experts in combinatorics, topology, geometry, group theory and computer science. We propose to organize a program that will bring together people from these areas in order to create a community of scholars who can cooperate on these new challenges.

 

 

Metacognitive processes accompany people’s thinking while investing mental effort towards achieving their goals (e.g., making decisions, learning, solving problems). Metacognitive Monitoring reflects feelings of (un)certainty about how well a particular thinking process progresses. Research has demonstrated that monitoring guides further action, such as acting, thinking further, seeking help, or giving up. Miscalibration arises when monitoring relies on unreliable cues (e.g., ease with which information comes to mind) and may misdirect investment of cognitive effort, leading to epistemic failures (e.g., errors, belief in fake news).

So far, metacognitive research has been mostly focused on learning—mostly remembering and knowledge retrieval—and thus often called Meta-Memory. Much less is known about metacognitive processes involved in higher-order reasoning. Relative to memorising or retrieving a piece of information, reasoning typically requires more time and effort, and involves a combination of cognitive processes (including memory). For this reason, we have recently developed a Meta-Reasoning framework in an invited review paper in the prestigious journal Trends in Cognitive Science (Ackerman & Thompson, 2017).

Meta-Reasoning research is nascent. New insights and research methodologies are accumulating, and we are now in the process of establishing a research community. A first step in this direction was establishing a web site and list serve (https://meta-reasoning.net.technion.ac.il/). This research group is the next step, aiming at bringing together experienced researchers with diverse expertise and a proven track-record in offering out-of-the-box research approaches. Our collective goal is to develop concepts, measures, research and research programs for pushing the Meta-Reasoning domain forward.