Here we share all the data from the project. They are organized in following folders: **“Block_order_demographics”** Basic demographic data (age and gender) of participants for all datasets. Additionally the order of blocks administered to each participant is provided. Each file corresponds to one dataset, and each row within these datasets corresponds to one participant. Using the R script stored in this folder one can merge the demographic data into one data frame. Please note that demographic data and information on block order is also coded in raw data files (see below). Variables in each file: *part.code* - unique identifier of a participant - contains name of the dataset and participant number used in a given experiment. Participant numbers are completely arbitrary, and are used solely to differentiate one participant form another. Participant codes correspond to those in the raw data. *block.order* - order of blocks administered to a given participant. Two values are possible for this variable: start_even_right and start_even_left *gender* - participant’s gender: values F and M *age* - participant’s age in years (integers only). Not available for Masson & Pesenti (unpubl.), and for some participants in van Dijck et al. (2009) **“Raw_data_sets_as_reported_in_the_paper”** Raw data files considered in the main analyses in the paper. The data are stored in the long format (i.e., one row corresponds to one trial). Each file corresponds to one dataset. In all datasets data from practice sessions are excluded. In each dataset the order of rows follows order of trials presented to given participant. Variables in each file: *part.code* - unique identifier of a participant - contains name of the dataset and participant number used in a given experiment. Participant numbers are completely arbitrary, and are used solely to differentiate one participant form another. Participant codes correspond to those in Block_order_demographics folder. *age* - participant’s age in years (integers only). Not available for Masson & Pesenti (unpubl.), and for some participants in van Dijck et al. (2009). This information is replicated across all rows corresponding to a given participant. *gender* - participant’s gender: values F and M. This information is replicated across all rows corresponding to a given participant. *block.order* - order of blocks (i.e., response to hand assignments) administered to a given participant. Two values are possible for this variable: start_even_right and start_even_left. This information is replicated across all rows corresponding to a given participant. *block.no* - block number according to order of administration: Possible values: 1 = first block in the experiment, 2 = second block in the experiment. *series* - Present in 6 datasets: Cipora&Nuerk, 2013; Cipora&Goebel, 2013; Cipora, 2014; Cipora et al., 2016; Goebel et al., 2015, Goebel, unpubl. In these datasets randomising of trials was built in such a way that all possible numbers were presented in random order, and only when all have been presented the same set was presented again in a randomised order. Therefore, on could differentiate series in which all numbers appeared. For each block in each participant numbered continuously from 1 to number corresponding to number of repetitions of each number per block. *trial.no* - trial number. Continuous numbering from 1 until the number of the last trial performed by a given participant. Note that in case of 5 datasets, in which 0 and 5 were excluded post hoc, trial numbering was added after exclusion (see Datasets_with_0_and_5 below). *number* - number presented to the participant in a given trial. Possible values: 1, 2, 3, 4, 6, 7, 8, 9. *resp.side* - response, on which the correct response button was located. Please note that this indicates location of the correct response, not the actual key that was pressed (this differ in case of incorrect responses). Possible values: left and right. *rt* - reaction time in milliseconds. *correct.experimental* - filtering variable excluding incorrect responses and trials in which participants did not respond at all. Possible values: 0 = incorrect response / no response, 1 = correct response. *filter.correct.exp.antic* - filtering variable excluding anticipations < 200 milliseconds. Its value also equals zero for incorrect responses (indicated by correct.experimental above). Possible values: 0 = invalid trial, 1 = valid trial. *filter.seq* - sequential filter as described in the paper. Outlier reaction times (deviating by more than 3SD from individual mean for each participant) were sequentially trimmed. Its value also equals zero for incorrect responses and anticipation (indicated by filter.correct.exp.antic above). Possible values: 0 = invalid trial, 1 = valid trial. **“Datasets_with_0_and_5”** In case of 5 datasets (Cipora et al., 2009; Cipora & Goebel, 2013; Goebel et al., 2015; Goebel, unpubl.; Nuerk et al., 2005), all numbers between 0-9 were used. As discussed in the paper, numbers 0 and 9 were excluded from analysis (before any further preprocessing). Nevertheless, here we share these 5 datasets considering all numbers actually presented. Data filters in these datasets were applied for consistency. Variables in each file: *part.code* - unique identifier of a participant - contains name of the dataset and participant number used in a given experiment. Participant numbers are completely arbitrary, and are used solely to differentiate one participant form another. Participant codes correspond to those in Block_order_demographics folder. *age* - participant’s age in years (integers only). This information is replicated across all rows corresponding to a given participant. *gender* - participant’s gender: values F and M. This information is replicated across all rows corresponding to a given participant. *block.order* - order of blocks (i.e., response to hand assignments) administered to a given participant. Two values are possible for this variable: start_even_right and start_even_left. This information is replicated across all rows corresponding to a given participant. *block.no* - block number according to order of administration: Possible values: 1 = first block in the experiment, 2 = second block in the experiment. *series* - Present in 3 datasets; Cipora&Goebel, 2013; Goebel et al., 2015, Goebel, unpubl. In these datasets randomising of trials was built in such a way that all possible numbers were presented in random order, and only when all have been presented the same set was presented again in a randomised order. Therefore, on could differentiate series in which all numbers appeared. For each block in each participant numbered continuously from 1 to number corresponding to number of repetitions of each number per block. *trial.no* - trial number. Continuous numbering from 1 until the number of the last trial performed by a given participant. Here new trial numbering was applied compared to Raw_data_sets_as_reported_in_the_paper so that trial numbers consider 0 and 5. *number* - number presented to the participant in a given trial. Possible values: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. *resp.side* - response, on which the correct response button was located. Please note that this indicates location of the correct response, not the actual key that was pressed (this differ in case of incorrect responses). Possible values: left and right. *rt* - reaction time in milliseconds. *correct.experimental* - filtering variable excluding incorrect responses and trials in which participants did not respond at all. Possible values: 0 = incorrect response / no response, 1 = correct response. *filter.correct.exp.antic* - filtering variable excluding anticipations < 200 milliseconds. Its value also equals zero for incorrect responses (indicated by correct.experimental above). Possible values: 0 = invalid trial, 1 = valid trial. *filter.seq* - sequential filter as described in the paper. Outlier reaction times (deviating by more than 3SD from individual mean for each participant) were sequentially trimmed. Its value also equals zero for incorrect responses and anticipation (indicated by filter.correct.exp.antic above). Possible values: 0 = invalid trial, 1 = valid trial.