Human actions are generally not determined by external stimuli, but by internal goals and by the urge to evoke desired effects in the environment. To reach these effects, humans typically have to act. But at times, deciding not to act can be better suited or even the only way to reach a desired effect. What mental processes are involved when people decide not to act to reach certain effects? From the outside it may seem that nothing remarkable is happening, because no action can be observed. However, I present three studies which disclose the cognitive processes that control nonactions. The present experiments address situations where people intentionally decide to omit certain actions in order to produce a predictable effect in the environment. These experiments are based on the ideomotor hypothesis, which suggests that bidirectional associations can be formed between actions and the resulting effects. Because of these associations, anticipating the effects can in turn activate the respective action. The results of the present experiments show that associations can be formed between nonactions (i.e., the intentional decision not to act) and the resulting effects. Due to these associations, perceiving the nonaction effects encourages not acting (Exp. 1–3). What is more, planning a nonaction seems to come with an activation of the effects that inevitably follow the nonaction (Exp. 4–5). These results suggest that the ideomotor hypothesis can be expanded to nonactions and that nonactions are cognitively represented in terms of their sensory effects. Furthermore, nonaction effects can elicit a sense of agency (Exp. 6–8). That is, even though people refrain from acting, the resulting nonaction effects are perceived as self-produced effects. In a nutshell, these findings demonstrate that intentional nonactions include specific mechanisms and processes, which are involved, for instance, in effect anticipation and the sense of agency. This means that, while it may seem that nothing remarkable is happening when people decide not to act, complex processes run on the inside, which are also involved in intentional actions.

In many parts of the modern world, numbers are used as tools to describe spatial relationships, be it heights, latitudes, or distances. However, this connection goes deeper as a myriad of studies showed that number representations are rooted in space (vertical, horizontal, and/or radial). For instance, numbers were shown to affect spatial perception and, conversely, perceptions or movements in space were shown to affect number estimations. This bidirectional link has already found didactic application in the classroom when children are taught the meaning of numbers. However, our knowledge about the cognitive (and neuropsychological) processes underlying the numerical magnitude operations is still very limited. Several authors indicated that the processing within peripersonal space (i.e. the space surrounding the body in reaching distance) and numerical magnitude operations are functionally equivalent. This assumption has several implications that the present work aims at describing. For instance, vision and visuospatial attention orienting play a prominent role for processing within peripersonal space. Indeed, both neuropsychological and behavioral studies also suggested a similar role of vision and visuospatial attention orienting for number processing. Moreover, social cognition research showed that movements, posture and gestures affect not only the representation of one's own peripersonal space, but also the visuospatial attention behavior of an observer. Against this background, the current work tests the specific implication of the functional equivalence assumption that the spatial attention response to an observed person’s posture should extend to the observer’s numerical magnitude operations. The empirical part of the present work tests the spatial attention response of observers to vertical head postures (with continuing eye contact to the observer) in both perceptual and numerical space. Two experimental series are presented that follow both steps from the observation of another person’s vertical head orientation (within his/her peripersonal space) to the observer’s attention orienting response (Experimental series A) as well as from there to the observer’s magnitude operations with numbers (Experimental Series B). Results show that the observation of a movement from a neutral to a vertical head orientation (Experiment 1) as well as the observation of the vertical head orientation alone (Experiment 3) shifted the observer’s spatial attention in correspondence with the direction information of the observed head (up vs. down). Movement from a vertical to a neutral end position, however, had no effect on the observer's spatial attention orienting response (Experiment 2). Furthermore, following down-tilted head posture (relative to up- or non-tilted head orientation), observers generated smaller numbers in a random number generation task (range 1- 9, Experiment 4), gave smaller estimates to numerical trivia questions (mostly multi-digit numbers, Experiment 5) and chose response keys less frequently in a free choice task that was associated with larger numerical magnitude in a intermixed numerical magnitude task. Experimental Series A served as groundwork for Experimental Series B, as it demonstrated that observing another person’s head orientation indeed triggered the expected directional attention orienting response in the observer. Based on this preliminary work, the results of Experimental Series B lend support to the assumption that numerical magnitude operations are grounded in visuospatial processing of peripersonal space. Thus, the present studies brought together numerical and social cognition as well as peripersonal space research. Moreover, the Empirical Part of the present work provides the basis for elaborating on the role of processing within peripersonal space in terms of Walsh’s (2003, 2013) Theory of Magnitude. In this context, a specification of the Theory of Magnitude was staked out in a processing model that stresses the pivotal role of spatial attention orienting. Implications for mental magnitude operations are discussed. Possible applications in the classroom and beyond are described.